Question

Carry wants to frame a square picture, which has an area of 950 square inches.



How long is each side of the picture? Round to the nearest tenth.

Question Blank 1 of 2
type your answer...
inches



What is the perimeter of the frame? Round to the nearest tenth?

Question Blank 2 of 2
type your answer...
inches

Answer 1

To find the length of each side of the square picture, we can use the formula for the area of a square:

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

Given that the area is 950 square inches, we set up the equation:

\[
\text{side}^2 = 950
\]

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

\[
\text{side} = \sqrt{950} \approx 30.81
\]

Rounding to the nearest tenth:

\[
\text{side} \approx 30.8 \text{ inches}
\]

Now, to find the perimeter of the frame, we use the formula for the perimeter of a square:

\[
\text{Perimeter} = 4 \times \text{side}
\]

Substituting the side length we found:

\[
\text{Perimeter} = 4 \times 30.81 \approx 123.24
\]

Rounding to the nearest tenth:

\[
\text{Perimeter} \approx 123.2 \text{ inches}
\]

Thus, the answers are:

1. Each side of the picture: **30.8 inches**
2. The perimeter of the frame: **123.2 inches**