Question

1. the area of a square picture frame is 55 square inches. find the length of one side of the frame. explain. part a to the nearest whole inch part b to the nearest tenth of an inch

Explanation:

Step1: Recall area formula for square

The area formula of a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length. Given $A = 55$ square inches, we need to solve for $s$, so $s=\sqrt{A}=\sqrt{55}$.

Step2: Calculate value for part A

We know that $\sqrt{49}<\sqrt{55}<\sqrt{64}$. Since $\sqrt{49} = 7$ and $\sqrt{64}=8$, and 55 is closer to 49 than 64, to the nearest whole - inch, $s\approx7$ inches.

Step3: Calculate value for part B

Using a calculator, $\sqrt{55}\approx7.416$. Rounding to the nearest tenth of an inch, $s\approx7.4$ inches.

Answer:

PART A: 7 inches
PART B: 7.4 inches