Solved Questions of Perimeter of a Square
1. What is the perimeter of a square with a side length of 6 cm?
a) 24 cm
b) 25 cm
c) 30 cm
d) 35 cm
Answer: a) 24 cm
Explanation: The perimeter of a square is given by the formula P = 4s, where s is the length of a side.
Substituting s = 6 cm in the formula, we get P = 4 x 6 = 24 cm.
Therefore, the perimeter of a square is 24 cm.
2. The perimeter of a square is 48 cm. What is the length of one of its sides?
a) 6 cm
b) 8 cm
c) 10 cm
d) 12 cm
Answer: d) 12 cm
Explanation: If we consider s to be the length of one of the sides of the square, then we know that P = 4s.
Substituting P = 48 cm in the formula, we get 48 = 4s. Dividing both sides by 4, we get s = 12 cm.
Therefore, the length of a side is 12 cm.
3. The perimeter of a square is 36 inches. What is the area of the square?
a) 81 in2
b) 64 in2
c) 49 in2
d) 36 in2
Answer: a) 81 in2
Explanation: The perimeter of a square is given by the formula P = 4s, where s is the length of a side.
Substituting P = 36 inches in the formula, we get 36 = 4s
Dividing both sides by 4, we get s = 9 inches.
The area of a square is given by the formula
A = s2, where s is the length of a side
Substituting s = 9 inches in the formula, we get A = 92 = 81 in2.
Therefore, the area of a square is 81 in2.
4. The perimeter of a square is twice the perimeter of another square. What is the ratio of their sides?
a) 1 : 3
b) 2 : 1
c) 1 : 4
d) 4 : 1
Answer: b) 2 : 1
Explanation: Let s1 be the length of the side of the first square, and s2 be the length of the side of the second square.
We know that
P1 = 4s1
P2 = 4s2
Also, we know that P1 = 2P2
4s1 = 2(4s2)
s1 = 2s2
s1/s2 = 2/1
Therefore, the ratio of their sides is 2 : 1.
5. What is the perimeter of a square with a side length of 7.2 cm?
a) 20.8 cm
b) 25.8 cm
c) 28.8 cm
d) 35.8 cm
Answer: c) 28.8 cm
Explanation: The perimeter of a square is given by the formula P = 4s, where s is the length of a side.
Substituting s = 7.2 cm in the formula, we get P = 4 x 7.2 = 28.8 cm.
Therefore, the perimeter of a square is 28.8 cm.
Practice Questions of Perimeter of a Square
1. What is the formula for finding the perimeter of a square?
a) P = 2l + 2w
b) P = 2 x side
c) P = l + w
d) P = 4 x side
Answer: d) P = 4 x side
2. The side length of a square is 8 cm. What is its perimeter?
a) 15 cm
b) 10 cm
c) 20 cm
d) 32 cm
Answer: d) 32 cm
3. If a square has a perimeter of 32 cm, what is the length of each side?
a) 8 cm
b) 16 cm
c) 4 cm
d) 2 cm
Answer: a) 8 cm
4. A square has a side length of 9 meters. What is its perimeter?
a) 18 meters
b) 36 meters
c) 27 meters
d) 81 meters
Answer: b) 36 meters
5. The perimeter of a square is 40 cm. What is the length of each side?
a) 10 cm
b) 20 cm
c) 5 cm
d) 8 cm
Answer: a) 10 cm
6. The perimeter of a square is 64 m. What is the area of the square?
a) 196 m2
b) 216 m2
c) 256 m2
d) 296 m2
Answer: c) 256 m2
7. If the length of one side of a square is 10 m, what is its perimeter?
a) 36 m
b) 40 m
c) 48 m
d) 54 m
Answer: b) 40 m
8. If the perimeter of a square is 20 cm, what is the length of one side of the square?
a) 5 cm
b) 10 cm
c) 20 cm
d) 30 cm
Answer: a) 5 cm
9. What is the perimeter of a square with sides of length 4 cm?
a) 4 cm
b) 8 cm
c) 16 cm
d) 20 cm
Answer: c) 16 cm
10. If the perimeter of a square is 80 cm, what is the length of one side of the square?
a) 5 cm
b) 10 cm
c) 20 cm
d) 30 cm
Answer: c) 20 cm
