Question

Which square has a side length closest to 7.7 meters?
Responses
A A square with an area of 54 m2A square with an area of 54 m 2
B A square with an area of 60 m2A square with an area of 60 m 2
C A square with an area of 30 m2A square with an area of 30 m 2
D A square with an area of 64 m2

Answer 1

To find which square has a side length closest to 7.7 meters, we need to calculate the side length of each square based on their areas. The side length \(s\) of a square can be found using the formula for the area \(A\):

\[
s = \sqrt{A}
\]

Now, let's calculate the side lengths for each option:

A. Area = 54 m²
\[
s = \sqrt{54} \approx 7.35 \, \text{m}
\]

B. Area = 60 m²
\[
s = \sqrt{60} \approx 7.75 \, \text{m}
\]

C. Area = 30 m²
\[
s = \sqrt{30} \approx 5.48 \, \text{m}
\]

D. Area = 64 m²
\[
s = \sqrt{64} = 8.00 \, \text{m}
\]

Now, let's compare the calculated side lengths to 7.7 meters:

- A: 7.35 m (difference = 0.35 m)
- B: 7.75 m (difference = 0.05 m)
- C: 5.48 m (difference = 2.22 m)
- D: 8.00 m (difference = 0.30 m)

The side length closest to 7.7 meters is option **B** (area of 60 m²) with a side length of approximately 7.75 m.