a) The area of a square = (i) 1 = 4cm 12. Find the area of squares in sq. cm.
(ii) 1 = 7cm b) The perimeter of a square :
(iii) I 3.5 cm
(i) 1 = 6cm
(ii) 1 = 9cm
(iii) I = 8.5 cm
(iv) 1 = 4.2 cm
41. Find the perimeter of squares in cm.
a) Area of rectangle = 1 x b. Find the area of rectangles in sq. cm.
(iv) 1 = 4.3 cm
(i) 1 = 7cm, b = 4cm (ii) 1 = 8cm, b = 6cm (iii) 1 = 7.5 cm, b = 4cm b) perimeter of rectangle = 2 (1 + b). Find the perimeter of rectangles in cm.
(ii) 1 = 9cm, b = 5cm (iii) 1 = 6.4cm, b = 3.7 cm The area of four walls of a room = (i) 1 = 10 m, b = 8 m, h = 5 m 2h(1 + b). Find the area of four walls in sq. m.
(i) 1 = 6cm, b
4cm
(ii) 1 = 12 m, b = 7.5 m, h = 4 m
9. a) The area of a circle= 22 лr², where = Find the area of circles in sq. cm. 7
(i) r = 7 cm
(ii) r = 14 cm
(iii) r = 21 cm
b) The perimeter of a circle=2r, where = 22. Find the perimeter of circle in cm.
(i) r = 7 cm
(ii) r = 14 cm
(iii) r = 21 cm
10. a) The volume of a cube = 1³. Find the volume of cubes in cubic cm.
(i) 1 = 2 cm
(ii) 1 = 4 cm
(iii) 1 = 5 cm
b) The area of a cube = 61². Find the area of cubes in sq. cm.
(i) 1 = 3 cm
(ii) 1 = 5 cm
(iii) 1 = 6 cm
a) The volume of a cuboid = 1 × b × h. Find the volume of cuboids in cubic cm.
(i) 1 = 5 cm, b = 4 cm, h = 3 cm
(ii) 1 = 10 cm, b = 7 cm, h = 5.5 cm
D) The area of a cuboid = 2(lb + bh + Ih). Find the area of cuboids in sq. cm.
(i) 1 = 8 cm, b = 5 cm, h = 2 cm
(ii) 1 = 10 cm, b = 6 cm, h = 4 cm
Answers
We will discuss here how to find the perimeter of a rectangle. We know perimeter of a rectangle is the total length (distance) of the boundary of a rectangle.
In a rectangle we know that two opposite sides are equal. So, PQ = SR and PS = QR
If PS = l and PQ = b
Perimeter of a Rectangle
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Perimeter of the rectangle = PQ + QR + RS + SP
= b +l + b + l
= 2b +2l
Again,
ABCD is a rectangle. We know that the opposite sides of a rectangle are equal.
Perimeter of a Rectangle
AB = CD = 5 cm and BC = AD = 3 cm
So, the perimeter of the rectangle ABCD = AB + BC + CD + AD = 5 cm + 3 cm + 5 cm + 3 cm = 16 cm
It can be written as 5 cm + 5 cm + 3 cm + 3 cm
= (2 × 5) cm + (2 × 3) cm
= 2 (5 + 3) cm
= 2 × 8 cm
= 16 cm
We add length and breadth twice to find the perimeter of a rectangle.
Perimeter of a rectangle = 2 (length + breadth)
Let us consider some of the examples on perimeter of a rectangle:
1. The length of a rectangle is 4 cm and its breadth is 2 cm. Find its perimeter.
Solution:
Length = 4 cm
Breadth = 2 cm
Examples on Perimeter of a Rectangle
Therefore, perimeter of the rectangle
= 2 (length + breadth)
= 2 (4 + 2) cm
= 2 × 6 cm
= 12 cm
2. Find the perimeter of the rectangle ABCD whose sides are 6 cm and 5 cm.
Solution:
Perimeter of Rectangle
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The perimeter of the rectangle ABCD
= 6 cm + 5 cm + 6 cm + 5cm
= 22 cm
3. A rectangular swimming pool is 9 m long and 4 m broad. Find the area of the swimming pool.
Solution:
Length of the rectangular swimming pool = 9 m
Breadth of the rectangular swimming pool = 4 m
Therefore, perimeter of the rectangle swimming pool
= 2 (length + breadth)
= 2 (9 + 4) m
= 2 (13) m
= 2 × 13 m
= 26 m
4. The length of a rectangle is 4.5 m and the breadth is 1.5 m. Find the perimeter.
Solution:
Length = 4.5 m
Breadth = 1.5 m
Perimeter of a Rectangle Problems
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Perimeter = 2 (length + breadth)
= 2 × (4.5 m + 1.5 m)
= 2 × 6 m
= 12 m
Therefore, the perimeter is 12 m.
5. A rectangle display board is measuring 8 m by 6 m. Robert wants to add a ribbon border around the display board. What is the length of ribbon that he will need? If the cost of the ribbon is $ 15 per metre then how much money does Robert needs to buy the ribbon?
Solution:
Length of the display board = 8 m
Breadth of the display board = 6 m
Perimeter of the display board = 2(Length + Breadth)
= 2(8 + 6) m
= 2 × 14 m
= 28 m.
Cost of ribbon is $15 per metre.
Therefore, total cost for 28 m long ribbon = $15 × 28
= $420.
Questions and Answers on Perimeter of a Rectangle:
1. Sam is running around a rectangular park of length 450 m and breadth 300 m. Find the total distance covered by him if he takes 10 rounds of the park.
Answer:
15000 m
2. A gardener wants to fence its rectangular garden with a wire. The length and breadth of the garden is 25 m and 16 m respectively. Find the length of the wire he must buy.
Answer:
82 m
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