Question

A square has an area of 585.64m2. Work out the perimeter of the square.

Answer 1

= 96.8 m

Explanation:

Area of a square = side²

Perimter of a square = 4*side

Then:

585.64 = side²

√585,64 = √side²

it is a geometric figure, therefore, only the positive value will be obtained

24.2m = side

Perimeter = 4*side

Perimeter = 4*24.2

Perimeter = 96.8m

Answer 2

perimeter = 96.8 m

Explanation:

the sides of a square are congruent , then perimeter (P) is calculated as

P = 4s ( s is the side length )

the area (A ) of a square is calculated as

A = s²

given A = 585.64 , then

s² = 585.64 ( take square root of both sides )

s =
`√(585.64)` = 24.2

Then

P = 4 × 24.2 = 96.8 m