**Q.2.** Find the area of any one door in your house.

suppose the length of door is 2m and breadth is 0.5 m
then the area of door =

Find the area of the floor of your classroom.

If floor length is 3m and breadth is 2m then

Find the perimeter of the following rectangles:

Length of rectangle
Breadth of rectangle
Perimeter by adding all sides
perimeter by
25 cm
12 cm
=25+12+25+12=74 cm
0.5 cm
0.25cm
=0.5+0.25+0.5+0.25=1.5cm
18 cm
15 cm
=18+15+18+15=66 cm
10.5 cm
8.5 cm
=10.5+8.5+10.5+8.5=38 cm

Find the perimeter of the following figures:

Perimeter = AB + BC + CD + DA

= __+__+__+__

= ______

Perimeter = AB + BC + CD + DA

= __ + __ + __+ __

= ______

Perimeter = AB + BC + CD + DE + EF + FG + GH +HI + IJ + JK + KL + LA

= __ + __ +__ + __ + __ + __ + __ + __ +__+ __ + __ + __

= ______

Perimeter = AB + BC + CD + DE + EF+ FA

= __ + __ + __ + __ + __ + __

= ______

Find the perimeter of the following figures:
Perimeter = AB + BC + CD + DA
= 40+10+40+10
= 100
Perimeter = AB + BC + CD + DA
=5+5+5+5=20
Perimeter = AB + BC + CD + DE + EF + FG + GH +HI + IJ + JK + KL + LA
=1+3+3+1+3+3+1+3+3+1+3+3=28 cm
Perimeter = AB + BC + CD +...

Meera went to a park 150 m long and 80 m wide. She took one complete round on its boundary. What is the distance covered by her?

The park is 150m long and 80 m wide. The parks are of the shape of the rectangle. The distance covered by Meera = perimeter of park = 2 (150+80)= 460 m

**Q 12. ** How many tiles whose length and breadth are 12 cm and 5 cm respectively will be needed to fit in a rectangular region whose length and breadth are respectively:

(a) 100 cm and 144 cm

(b) 70 cm and 36 cm.

Given that,
the length and breadth of the tiles are 12 cm and 5 cm
Therefore, the area of the tiles
= length breadth
= 12 cm 5 cm
= 60 cm2
Now, (a) For 100 cm and 144 cm rectangular region,
Area of region = length breadth
= 14,400 cm2
Therefore, the number of tiles needed = tiles
(b) For 70 cm and 36 cm rectangular region,
Area of region = ...

**Q 11. ** Split the following shapes into rectangles and find their areas. (The measures are given in centimetres)

(a) Split the given figure into a small rectangle, as shown here;
Now, the area of the rectangle (I) = = 12 2 =
the area of the rectangle (II) = = 8 2=
Therefore, Total area =
(b) Split the given figure into a small rectangle, as shown here;
Now, the area of the rectangle (I) = = 7 7 =
the area of the rectangle (II) = = 21 7=
Now, the area of the rectangle (III) = = 7 7 =...

**Q 10. ** By splitting the following figures into rectangles, find their areas (The measures are given in centimetres).

(a) Split the given figures into small rectangular parts as shown here;
Now, the area of the rectangle (I) = = 4 3 = 12
the area of the rectangle (II) = = 3 2= 6
the area of the rectangle (III) = = 4 1 = 4
the area of the rectangle (IV) = = 3 2 = 6
So, the total area of the figure = sum area of all rectangles
= (12 + 6 + 4 +...

**Q 9. ** Five square flower beds each of sides 1 m are dug on a piece of land 5 m long and 4 m wide. What is the area of the remaining part of the land?

Given that,
Length and breadth of the land are 5m and 4 m.
Side of the square flower bed = 1m
Therefore the area of the bed = 1
So, Area of 5 square flower bed = 5
Area of the and = length breadth
=
Thus, the area of the remaining part of the land = Area of land - area of the flower bed
...

**Q 8. ** A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the area of the floor that is not carpeted.

Given that,
Length of the floor = 5 m
and its width = 4 m
Therefore, the area of the floor
= length breadth
And, side of the square carpet = 3m
Therefore, the area of the square carpet =
= 3m 3m = 9m2
Thus, the area of the floor which is not covered with carpet =

**Q 7.** A room is 4 m long and 3 m 50 cm wide. How many square metres of carpet is needed to cover the floor of the room?

Given that,
Length of the room = 4 m
And it's breadth = 3.5 m
Area of the room = = length breadth
=
Hence the area of carpet needed is

**Q 6.** A table-top measures 2 m by 1 m 50 cm. What is its area in square metres?

Given that,
Length of the table-top = 2m
and it's breadth = 1.5 m
Therefore, the area of the tabletop
= length breadth

**Q 5.** What is the cost of tiling a rectangular plot of land 500 m long and 200 m wide at the rate of rupees 8 per hundred sq m.?

Given that,
Length of the rectangular plot = 500m
and the width = 200 m
fencing cost = Rs 8 per hundred sq. meter
Therefore, the area of the plot
=
Now, Total rate of tiling of 100,1000 m2 =
= Rs 8000

**Q 4.** The area of a rectangular garden 50 m long is 300 sq m. Find the width of the garden.

Given that,
Area of the rectangular garden = 300 sq. m
and the length = 50 m
Therefore, the Width of the garden =
=
Hence the width of the garden is 6 m

**Q 3. ** The length and breadth of three rectangles are as given below :

(a) 9 m and 6 m (b) 17 m and 3 m (c) 4 m and 14 m

Which one has the largest area and which one has the smallest?

We know that area of a rectangle = length breadth
Therefore,
(a) Here length is 9m and the breadth of the rectangle is 6m
So, the area of the rectangle
=
(b) Here length is 17 m and the breadth of the rectangle is 3m
So, the area of the rectangle
=
(c) Here length is 4m and the breadth of the rectangle is 14m
So, the area of the rectangle
...

**Q 2. ** Find the areas of the squares whose sides are :

(a) 10 cm (b) 14 cm (c) 5 m

It is known that area of a square =
(a) The length of a side of a square = 10cm
So, the area =
(b)The length of a side of a square = 14cm
So, the area =
(c) The length of a side of a square = 5m
So, the area =

**Q 1. ** Find the areas of the rectangles whose sides are :

(a) 3 cm and 4 cm

(b) 12 m and 21 m

(c) 2 km and 3 km

(d) 2 m and 70 cm

We know that area of a rectangle = length breadth
Therefore,
(a) Here length is 3cm and the breadth of the rectangle is 4cm
So, the area of the rectangle
=
(b) Here length is 12m and the breadth of the rectangle is 21m
So, the area of the rectangle
=
(c) Here length is 3km and the breadth of the rectangle is 3km
So, the area of the...

**Q 1. ** Find the areas of the following figures by counting square:

Area of 1 square = 1sq. unit
(a) Number of total squares = 9
Therefore, the area of 9 squares = 9 sq. units
(b) In fig (b) the total number of square = 5
Therefore, are = 5 sq units
(c) In fig (c) the number of squares = 4
So, the area is 4 sq. units
(d) In fig (d) number of squares = 8
Therefore, area = 8 sq. units
(e) Total number of square = 10
therefore,...

**Q 17.** Avneet buys 9 square paving slabs, each with a side of . He lays them in the form of a square.

(a) What is the perimeter of his arrangement ?

(b) Shari does not like his arrangement. She gets him to lay them out like a cross. What is the perimeter of her arrangement?

(c) Which has greater perimeter?

(d) Avneet wonders if there is a way of getting an even greater perimeter. Can you find a way of doing this?

Given that,
Length of each slab =
So, the length of the square =
(a) The first figure is a square
So, the perimeter of the square = 4 side
=
(b) The perimeter of the 2nd figure
= Sum of all the sides
=
= 10 m
(c) Figure (ii) has a greater perimeter than fig (i)
(d) Arrange all the slab in horizontally, it forms a rectangle whose...

**Q 16. ** What is the perimeter of each of the following figures? What do you infer from the answers?

(a) The perimeter of the square
= Sum of all the four side = 4 side
= 4 25
= 100 cm
(b)The perimeter of the rectangle
= SUm of all the sides = 2 [length + breadth )
= 2 (20 + 30)
= 2 50
= 100
(c)The perimeter of the rectangle
= Sum of all the sides = 2 [length + breadth ]
= 2 (40 + 10)
= 2 50
= 100 cm
(d)The perimeter of the triangle
= Sum of all three...

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