Question

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

Explanation:

Step1: Recall the area formula for a square

The area formula for a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length. Given $A = 55$ square inches, we can solve for $s$ by taking the square root of both sides: $s=\sqrt{A}=\sqrt{55}$.

Step2: Find the value of $\sqrt{55}$ to the nearest whole number

We know that $7^{2}=49$ and $8^{2}=64$. Since $55$ is closer to $49$ than to $64$, $\sqrt{55}\approx7$ (to the nearest whole number).

Step3: Find the value of $\sqrt{55}$ to the nearest tenth

Using a calculator, $\sqrt{55}\approx7.416$. Rounding to the nearest tenth, we get $7.4$.

Answer:

a. 7 in
b. 7.4 in