Question

the area of a square frame is 55 square inches. find the length of one side of the frame. extra: a. to the nearest whole inch b. to the nearest tenth of an inch * the length of one side of the frame to the nearest whole inch is 5

Explanation:

Step1: Recall the area formula for a square

The area \( A \) of a square with side length \( s \) is given by the formula \( A = s^2 \). We know the area \( A = 55 \) square inches, so we need to solve for \( s \) by taking the square root of both sides: \( s=\sqrt{A}=\sqrt{55} \).

Step2: Calculate the square root of 55

We calculate \( \sqrt{55} \). We know that \( 7^2 = 49 \) and \( 8^2 = 64 \). Since \( 49<55<64 \), \( \sqrt{55} \) is between 7 and 8. Calculating the decimal value, \( \sqrt{55}\approx7.416 \).

Step3: Round to the nearest whole inch

To round \( 7.416 \) to the nearest whole inch, we look at the tenths place. The digit in the tenths place is 4, which is less than 5, so we round down. So the nearest whole inch is 7.

Answer:

7