Question

answer the questions below. write your answers in simplest form.
(a) a square has a perimeter of 48 yd. what is the length of each side?
□ yd
(b) a square has an area of 64 ft². what is the length of each side?
□ ft

Explanation:

Step1: Solve part (a)

The perimeter \( P \) of a square is given by the formula \( P = 4s \), where \( s \) is the length of each side. We know the perimeter \( P = 48 \) yd. To find \( s \), we can rearrange the formula: \( s=\frac{P}{4} \). Substituting \( P = 48 \) into the formula, we get \( s=\frac{48}{4}=12 \) yd.

Step2: Solve part (b)

The area \( A \) of a square is given by the formula \( A = s^2 \), where \( s \) is the length of each side. We know the area \( A = 64 \) \( \text{ft}^2 \). To find \( s \), we take the square root of both sides: \( s=\sqrt{A} \). Substituting \( A = 64 \) into the formula, we get \( s=\sqrt{64}=8 \) ft.

Answer:

(a) \( \boxed{12} \) yd
(b) \( \boxed{8} \) ft