Question

Answer the questions below. Write your answers in simplest form.

Answer 1

(a.) 8m

(b.) 12 cm

Explanation:

a:

given: area of square = 64m²

formula of area of a square A = s²

We will reverse the formula to find the sum of the sides:

S = √A

S =√64

S = 8

b:

Given: perimeter of a square is 48 cm

formula for a perimeter of a square: P = 4 · s

We will reverse the formula to find the sum of the sides:

S = P ÷ 4

S = 48 ÷ 4

S = 12

Answer 2

a) The area of a square is given by the formula A = s^2, where A is the area and s is the length of each side. Given that the area is 64 m², we can solve for s as follows:

A = s^2
64 = s^2
s = √64
s = 8

Therefore, the length of each side of the square is 8 meters.

(b) The perimeter of a square is given by the formula P = 4s, where P is the perimeter and s is the length of each side. Given that the perimeter is 48 cm, we can solve for s as follows:

P = 4s
48 = 4s
s = 48/4
s = 12

Therefore, the length of each side of the square is 12 centimeters.