Question

15 of 1815 of 18 Items
22:55


















































































































































































































































Question
Which square has a side length closest to 12 centimeters?
Responses
A A square with an area of 160 cm2A square with an area of 160 cm 2
B A square with an area of 48 cm2A square with an area of 48 cm 2
C A square with an area of 150 cm2A square with an area of 150 cm 2
D A square with an area of 3 cm2A square with an area of 3 cm 2

Answer 1

To determine which square has a side length closest to 12 centimeters, we can first calculate the side length of each square based on its area. The formula for the area \( A \) of a square is:

\[
A = s^2
\]

where \( s \) is the length of a side of the square. We can rearrange the formula to find the side length:

\[
s = \sqrt{A}
\]

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

**A. A square with an area of 160 cm²**
\[
s = \sqrt{160} \approx 12.65 \text{ cm}
\]

**B. A square with an area of 48 cm²**
\[
s = \sqrt{48} \approx 6.93 \text{ cm}
\]

**C. A square with an area of 150 cm²**
\[
s = \sqrt{150} \approx 12.25 \text{ cm}
\]

**D. A square with an area of 3 cm²**
\[
s = \sqrt{3} \approx 1.73 \text{ cm}
\]

Now, let's compare the side lengths to 12 cm:

- Option A: 12.65 cm (closest to 12 cm)
- Option B: 6.93 cm
- Option C: 12.25 cm
- Option D: 1.73 cm

The options with side lengths closest to 12 cm are A (12.65 cm) and C (12.25 cm). However, A is slightly farther from 12 cm than C.

Therefore, the square with an area closest to having a side length of 12 centimeters is:

**C. A square with an area of 150 cm²**.