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# Worksheet on Formula for Perimeter of a Rectangle

## Worksheet of Perimeter of a Rectangle

### Solved Questions of Perimeter of a Rectangle

1. A rectangle has a length of 6 units and a breadth of 3 units. What is its perimeter?

a) 9 units
b) 12 units
c) 18 units
d) 24 units

Explanation: Using the formula P = 2 (l + b), we get
P = 2(6 + 3) = 18 units

2. If the perimeter of a rectangle is 28 cm and its length is 9 cm, what is its breadth?

a) 4 cm
b) 5 cm
c) 6 cm
d) 7 cm

Explanation: We can use the formula P = 2(l + b) and given that P=28 cm and l = 9 cm,
28 = 2(9 + b)
28 = 18 + 2b
28 - 18 = 2b
10 = 2b
b = 5 cm

3. If a rectangle has a perimeter of 36 metres and a breadth of 4 metres, what is its length?

a) 5 metres
b) 8 metres
c) 10 metres
d) 14 metres

Explanation: Using the formula P = 2(l + b), we can put the given values in
P = 2(l + b)
36 = 2(l + 4)
36 = 2l + 8
2l = 36 – 8
2l = 28
l = 14 metres

4. Neeta is cutting a rectangle. Perimeter of the rectangular sheet is 30 cm. If the length of the sheet is 7 cm, then find its width.

a) 5 cm
b) 8 cm
c) 9 cm
d) 16 cm

Explanation: Using the formula P = 2(l + b) and substituting the given values, we get
30 = 2l + 2(7)
2l = 30 – 14
2l = 16
l = 8 cm

5. The perimeter of a rectangle is 50 inches. If its length is twice its breadth, what are the dimensions of the rectangle?

a) 10 in by 7 in
b) 16.67 in by 8.33 in
c) 17.66 in by 8.56 in
d) 20 in by 10 in

Answer: b) 16.67 in by 8.33 in

Explanation: Let's use the formula P = 2(l + b) and the given information to form an equation. We have
50 = 2(2b + b)
50 = 6b
b = 8.33 in

Since the length is twice the breadth, l = 2b = 16.67 in.

### Practice Questions of Perimeter of a Rectangle

1. If a rectangle has a length of 8 cm and a breadth of 6 cm, what is its perimeter?

a) 16 cm
b) 12 cm
c) 28 cm
d) 32 cm

2. If a rectangle has a perimeter of 40 cm, and its breadth is 8 cm, what is its length?

a) 12 cm
b) 20 cm
c) 16 cm
d) 24 cm

3. A rectangle has a perimeter of 80 cm and a length of 20 cm. What is its breadth?

a) 20 cm
b) 40 cm
c) 30 cm
d) 10 cm

4. A rectangle has a perimeter of 100 cm and a breadth of 25 cm. What is its length?

a) 50 cm
b) 75 cm
c) 100 cm
d) 25 cm

5. What is the formula for finding the perimeter of a rectangle?

a) P = l + b
b) P = 2(l + b)
c) P = lb
d) P = l/b

Answer: b) P = 2(l + b)

6. If the length of a rectangle is 8 cm and the breadth is 4 cm, what is the perimeter?

a) 16 cm
b) 20 cm
c) 24 cm
d) 28 cm

7. The perimeter of a rectangle is 96 cm. If the length of the rectangle is 12 cm, what is the breadth of the rectangle?

a) 12 cm
b) 24 cm
c) 36 cm
d) 48 cm

8. A rectangle has a perimeter of 186 m. If the breadth is 46 m, what is the length of the rectangle?

a) 30 m
b) 35 m
c) 47 m
d) 140 m

9. A rectangle has a perimeter of 70 cm and an area of 300 cm2. What are the dimensions of the rectangle?

a) 10 cm x 20 cm
b) 15 cm x 20 cm
c) 20 cm x 25 cm
d) 25 cm x 30 cm

Answer: b) 15 cm x 20 cm

10. A rectangle has a length of 15 m and a breadth of 10 m. What is the perimeter of a rectangle?

a) 35 m
b) 40 m
c) 45 m
d) 50 m

## Quick Video Recap

In this section, you will find interesting and well-explained topic-wise video summary of the topic, perfect for quick revision before your Olympiad exams.

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