Question

The perimeter of a square is \[44cm\]. Find its area.

Answer 1

Hint: In the given question, we have been given the perimeter of a square. We have to find its area. To find the area of a square, we only need the measure of a side. Then we just square the side, i.e., multiply the measure of the side with itself, and we get the area of the square. Now, to find the length of the side, we are going to use the perimeter of the square. We are going to use the formula of the perimeter of the square and calculate the side from there.

Formula used:
We are going to use the formula of area and perimeter of a square, which are:
\[A = s \times s\] and \[P = 4s\]

Complete step by step solution:
The given perimeter is \[44cm\].

We know,
\[Perimeter = 4 \times side\]
So, we have, \[44 = 4 \times side\]
Hence, \[side = 44 \div 4 = 11cm\]
Now, area of square is given by,
\[Area = side \times side\]
So, \[area = 11 \times 11 = 121c{m^2}\]
Hence, the area of the given square is \[121c{m^2}\].

Note: In this question, we had to find the area of the square. We were given the perimeter. We calculated it by using the formula of the perimeter, and used the formula to calculate the length of each side. Then just used the formula of area of square using the calculated length of the side, and we got our answer.