Question

answer the questions below. write your answers in simplest form. (a) a square has an area of 49 \\(\mathrm{cm}^2\\). what is the length of each side? \\(\square\\) cm (b) a square has a perimeter of 48 m. what is the length of each side? \\(\square\\) m

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 \( A = 49 \, \text{cm}^2 \), so we set up the equation \( s^2 = 49 \). Taking the square root of both sides, we get \( s=\sqrt{49} \).

Step3: Calculate the square root

\( \sqrt{49} = 7 \) since \( 7\times7 = 49 \).

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 \( P = 48 \, \text{m} \), so we set up the equation \( 4s = 48 \). Dividing both sides by 4, we get \( s=\frac{48}{4} \).

Step3: Calculate the division

\( \frac{48}{4}=12 \).

Answer:

7

Part (b)