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If the perimeter of a square is 20 cm, then what is its area?
Question

If the perimeter of a square is 20 cm, then what is its area?

A.

100 cm2100\space\text{cm}^2​​​

B.

400 cm2400\space\text{cm}^2​​

C.

25 cm225\space\text{cm}^2​​

D.

20 cm220\space\text{cm}^2​​

Correct option is C

Given:

Perimeter of the square = 20 cm

Formula Used:

Side=Perimeter4,Area=Side2\text{Side} = \frac{\text{Perimeter}}{4}, \quad \text{Area} = \text{Side}^2​​

Solution:

Side=204=5 cm\text{Side} = \frac{20}{4} = 5 \text{ cm}

Area=52=25 cm2\text{Area} = 5^2 = 25 \text{ cm}^2

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