NCERT Solutions for Class 7 Maths Chapter 11

Perimeter and Area Class 7

Chapter 11 Perimeter and Area Exercise 11.1, 11.2, 11.3, 11.4 Solutions

<< Previous Chapter 10 : Practical Geometry Next Chapter 12 : Algebraic Expressions >>

Exercise 11.1 : Solutions of Questions on Page Number : 208

Q1 :  

The length and the breadth of a rectangular piece of land are 500 m and 300 m respectively. Find

(i) its area

(ii)the cost of the land, if 1 m2 of the land costs Rs 10,000.


Answer :

(i) Area = Length x Breadth

= 500 x 300

= 150000 m2

(ii)Cost of 1 m2 land = Rs 10000

Cost of 150000 m2 land = 10000 x 150000 = Rs 1500000000

Answer needs Correction? Click Here

Q2 :  

Find the area of a square park whose perimeter is 320 m.


Answer :

Perimeter = 320 m

4 × Length of the side of park = 320

Length of the side of park =

Area = (Length of the side of park)2 = (80)2 = 6400 m2

Answer needs Correction? Click Here

Q3 :  

Find the breadth of a rectangular plot of land, if its area is 440 m2 and the length is 22 m. Also find its perimeter.


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q4 :  

The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth. Also find the area.


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q5 :  

The area of a square park is the same as of a rectangular park. If the side of the square park is 60 m and the length of the rectangular park is 90 m, find the breadth of the rectangular park.


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q6 :  

A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is rebent in the shape of a square, what will be the measure of each side. Also find which shape encloses more area?


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q7 :  

The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find its length. Also find the area of the rectangle.


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q8 :  

A door of length 2 m and breadth 1 m is fitted in a wall. The length of the wall is 4.5 m and the breadth is 3.6 m (see the given figure). Find the cost of white washing the wall, if the rate of white washing the wall is Rs 20 per m2.


Answer :

Please Register/Login to get access to all solutions Facebook Login
<< Previous Chapter 10 : Practical Geometry Next Chapter 12 : Algebraic Expressions >>

Exercise 11.2 : Solutions of Questions on Page Number : 216

Q1 :  

Find the area of each of the following parallelograms:


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q2 :  

Find the area of each of the following triangles:


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q3 :  

Find the missing values:

So No

Base

Height

Area of parallelogram

a.

20 cm

-

246 cm2

b.

-

15 cm

154.5 cm2

c.

-

8.4 cm

48.72 cm2

d.

15.6 cm

-

16.38 cm2


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q4 :  

Find the missing values:

Base

Height

Area of triangle

15 cm

_______

87 cm2

_______

31.4 mm

1256 mm2

22 cm

_______

170.5 cm2


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q5 :  

PQRS is a parallelogram (see the given figure). QM is the height from Q to SR and QN is the height from Q to PS. If SR = 12 cm and QM = 7.6 cm. Find:

(a) the area of the parallelogram PQRS

(b) QN, if PS = 8 cm


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q6 :  

DL and BM are the heights on sides AB and AD respectively of parallelogram ABCD (see the given figure). If the area of the parallelogram is 1470 cm2, AB = 35 cm and AD = 49 cm, find the length of BM and DL.


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q7 :  

ΔABC is right angled at A (see the given figure). AD is perpendicular to BC. If AB = 5 cm, BC = 13 cm and AC = 12 cm, Find the area of ΔABC. Also find the length of AD.


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q8 :  

ΔABC is isosceles with AB = AC = 7.5 cm and BC = 9 cm (see the given figure). The height AD from A to BC, is 6 cm. Find the area of ΔABC. What will be the height from C to AB i.e., CE?


Answer :

Please Register/Login to get access to all solutions Facebook Login
<< Previous Chapter 10 : Practical Geometry Next Chapter 12 : Algebraic Expressions >>

Exercise 11.3 : Solutions of Questions on Page Number : 223

Q1 :  

Find the circumference of the circles with the following radius: (Takeπ)

(a) 14 cm (b) 28 mm (c) 21 cm


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q2 :  

Find the area of the following circles, given that:

(a) radius = 14 mm (Takeπ) (b) diameter = 49 m

(c) radius = 5 cm


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q3 :  

If the circumference of a circular sheet is 154m, find its radius. Also find the area of

the sheet. (Takeπ)


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q4 :  

A gardener wants to fence a circular garden of diameter 21 m. Find the length of the rope he needs to purchase, if he makes 2 rounds of fence. Also find the costs of the rope, if it cost Rs 4 per meter. (Takeπ)


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q5 :  

From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. (TakeÀ = 3.14)


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q6 :  

Saima wants to put a lace on the edge of a circular table cover of diameter 1.5 m. Find the length of the lace required and also find its cost if one meter of the lace costs Rs 15.( Takeπ = 3.14)


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q7 :  

Find the perimeter of the adjoining figure, which is a semicircle including its diameter.


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q8 :  

Find the cost of polishing a circular table-top of diameter 1.6 m, if the rate of polishing is Rs 15/m2. (Take π = 3.14)


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q9 :  

Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? (Takeπ)


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q10 :  

From a circular card sheet of radius 14 cm, two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1 cm are removed (as shown in the following figure). Find the area of the remaining sheet. (Takeπ)


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q11 :  

A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet? (Take π = 3.14)


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q12 :  

The circumference of a circle is 31.4 cm. Find the radius and the area of the circle? (Take π = 3.14)


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q13 :  

A circular flower bed is surrounded by a path 4 m wide. The diameter of the flower bed is 66 m. What is the area of this path? (À = 3.14)


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q14 :  

A circular flower garden has an area of 314 m2. A sprinkler at the centre of the garden can cover an area that has a radius of 12 m. Will the sprinkler water the entire garden? (Take π = 3.14)


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q15 :  

Find the circumference of the inner and the outer circles, shown in the adjoining figure? (Take À = 3.14)


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q16 :  

How many times a wheel of radius 28 cm must rotate to go 352 m?

(Take π )


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q17 :  

The minute hand of a circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour. (Take π = 3.14)


Answer :

Please Register/Login to get access to all solutions Facebook Login
<< Previous Chapter 10 : Practical Geometry Next Chapter 12 : Algebraic Expressions >>

Exercise 11.4 : Solutions of Questions on Page Number : 226

Q1 :  

A garden is 90 m long and 75 m broad. A path 5 m wide is to be built outside and around it. Find the area of the path. Also find the area of the garden in hectare.


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q2 :  

A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65 m. Find the area of the path.


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q3 :  

A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q4 :  

A verandahof width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m wide. Find:

(i) the area of the verandah

(ii) the cost of cementing the floor of the verandah at the rate of Rs 200 per m2.


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q5 :  

A path 1 m wide is built along the border and inside a square garden of side 30 m. Find:

(i) the area of the path

(ii) the cost of planting grass in the remaining portion of the garden at the rate of Rs 40 per m2.


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q6 :  

Two cross roads, each of width 10 m, cut at right angles through the centre of a rectangular park of length 700 m and breadth 300 m and parallel to its sides. Find the area of the roads. Also find the area of the park excluding cross roads. Give the answer in hectares.


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q7 :  

Through a rectangular field of length 90 m and breadth 60 m, two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the fields. If the width of each road is 3 m, find

(i) the area covered by the roads.

(ii)the cost of constructing the roads at the rate of Rs 110 per m2.


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q8 :  

Pragya wrapped a cord around a circular pipe of radius 4 cm (adjoining figure) and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm (also shown). Did she have any cord left? (À= 3.14).


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q9 :  

The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. Find:

(i) the area of the whole land

(ii) the area of the flower bed

(iii) the area of the lawn excluding the area of the flower bed

(iv) the circumference of the flower bed.


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q10 :  

In the following figures, find the area of the shaded portions:


Answer :

Please Register/Login to get access to all solutions Facebook Login
Q11 :  

Find the area of the quadrilateral ABCD.

Here, AC = 22 cm, BM = 3 cm,

DN = 3 cm, and

BM⊥AC, DN⊥AC


Answer :

Please Register/Login to get access to all solutions Facebook Login
<< Previous Chapter 10 : Practical Geometry Next Chapter 12 : Algebraic Expressions >>

Maths : CBSE NCERT Exercise Solutions for Class 7th for Perimeter and Area ( Exercise 11.1, 11.2, 11.3, 11.4 ) will be available online in PDF book form soon. The solutions are absolutely Free. Soon you will be able to download the solutions.