Question

The perimeter of square card board is 1 m. Find its area in cm2

Answer 1

perimeter of square = 4×side=100
side=100/4=25cm
area of square = {side}2
=(25)2
=625cm2

Answer 2

Answer: - The area of the square cardboard = 625 cm².

Detailed solution: -

Given: -

The perimeter of the square cardboard = 1 m

We need to find the area of the square cardboard in cm².

So,

First, we need to convert the perimeter of the cardboard from m to cm.

Therefore,

1 m = 100 cm

The perimeter = 100 cm

Now,

We need to find the sides of the square cardboard by using the perimeter of the square formula.

The perimeter of the square = $4*side$

Therefore,

The perimeter of the cardboard = $4*side$

$100cm=4*side\\100cm/4 = side\\25cm = side$

All sides of the square cardboard = 25 cm (sides of the square are equal).

Now,

We will find the area of the cardboard by using the area of the square formula.

The area of the square = side²

So,

The area of the square cardboard = side²

$=25cm *25cm\\=625cm^2$

Therefore,

The area of the square cardboard = 625 cm²

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