Question

Miranda bought a square frame that has an area of 30 square inches. What is the approximate side length rounded to the nearest 10th?


5.5


5.1


5.8


5.3

Answer 1

To find the side length of a square frame given its area, you can use the formula for the area of a square:

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

Given that the area is 30 square inches, you can set up the equation:

\[
\text{side length}^2 = 30
\]

Now, take the square root of both sides to find the side length:

\[
\text{side length} = \sqrt{30}
\]

Calculating the square root of 30:

\[
\sqrt{30} \approx 5.477
\]

Rounding this to the nearest tenth:

\[
5.477 \approx 5.5
\]

Therefore, the approximate side length of the square frame, rounded to the nearest tenth, is **5.5** inches.