Question

the perimeter of a square playground is 64 metres what is the area of the playground​

Answer 1

Answer:

perimeter= 64

side=64/4= 16m

area=side²=16²= 256m

Step-by-step explanation:

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Answer 2

Given,

The perimeter of the square playground in meters$\[ = 64\]$

Solution,

Formula used, the perimeter of a square whose side is a$\[ = 4a\]$

Formula used, the area of a square whose side is a$\[ = {a^2}\]$

Assume that the length of the side of a square is a meter.

Therefore, the length of the side of a square

$\[\begin{array}{l} \Rightarrow 4a = 64\\ \Rightarrow a = \frac{{64}}{4}\\ \Rightarrow a = 16\end{array}\]$

Therefore, the area of the square is

$\[\begin{array}{l} = {\left( {16} \right)^2}\\ = 256\end{array}\]$

Hence, the area of the square playground is $\[256\]$square meters.