Answer:
perimeter = 54.08
Explanation:
We are told that the area of a square kitchen is 182.25 m². We are then asked to calculate the perimeter of the kitchen.
The perimeter of a shape is simply the sum of the length of its sides. Therefore, in order to calculate the perimeter of the kitchen, we need to know the length of its sides.
Given that we know the area of the square kitchen, we can use the formula:
,
and rearrange it to make the side the subject:
Area = side²
⇒
⇒
(taking the square root of each side)
⇒
⇒ side = 13.52 m
Therefore, the length of each side of the square kitchen is 13.52 m.
A square has 4 sides; therefore the perimeter of the kitchen can be calculated as follows:
perimeter =
=
Therefore, the perimeter of the square kitchen is 54.08 m.