Mia completely covered a square bulletin board using 48 ft2 of material without any overlap. Which measurement is closest to the side length of this bulletin board in feet?

Question

Responses
A 7 ft7 ft
B 12 ft12 ft
C 6 ft6 ft
D 24 ft

Answer 1

To find the side length of the square bulletin board, we can first find the side length using the area formula for a square, which is:

\[ \text{Area} = \text{side length}^2 \]

Given that the area is 48 ft², we can set up the equation:

\[ \text{side length}^2 = 48 \]

To find the side length, we take the square root of both sides:

\[ \text{side length} = \sqrt{48} \]

Calculating this:

\[ \sqrt{48} = \sqrt{16 \times 3} = \sqrt{16} \times \sqrt{3} = 4\sqrt{3} \]

Approximating \(\sqrt{3} \approx 1.732\):

\[ 4\sqrt{3} \approx 4 \times 1.732 = 6.928 \]

So, the side length of the bulletin board is approximately 6.928 feet. The closest whole number from the responses given is:

A: 7 ft.