Question

partially correct
your answer is incorrect.
answer the questions below. write your answers in simplest form.
(a) a square has an area of 64 m². what is the length of each side?
square m
(b) a square has a perimeter of 24 cm. what is the length of each side?
6 cm
try again

Explanation:

Part (a)

Step1: Recall area formula for square

The area \( A \) of a square is given by \( A = s^2 \), where \( s \) is the side length.

Step2: Solve for side length

We know \( A = 64 \, \text{m}^2 \), so we set up the equation \( s^2 = 64 \). To find \( s \), we take the square root of both sides: \( s=\sqrt{64} \).

Step3: Calculate the square root

\( \sqrt{64} = 8 \), since \( 8\times8 = 64 \).

Step1: Recall perimeter formula for square

The perimeter \( P \) of a square is given by \( P = 4s \), where \( s \) is the side length.

Step2: Solve for side length

We know \( P = 24 \, \text{cm} \), so we set up the equation \( 4s = 24 \). Divide both sides by 4: \( s=\frac{24}{4} \).

Step3: Calculate the division

\( \frac{24}{4}=6 \).

Answer:

\( 8 \)

Part (b)