Question

1. the area of a square poster is 31 square inches. find the length of one side of the poster. 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 for a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length. Given $A = 31$ square inches, we need to solve for $s$. So, $s=\sqrt{A}$.

Step2: Calculate side - length for Part A

For Part A, we want the nearest whole - inch value. $s=\sqrt{31}$. Since $5^2=25$ and $6^2 = 36$, and $31$ is closer to $36$ than to $25$, $\sqrt{31}\approx6$ inches.

Step3: Calculate side - length for Part B

For Part B, we calculate $\sqrt{31}\approx5.6$ inches (using a calculator: $\sqrt{31}\approx5.567764363$ and rounding to the nearest tenth gives $5.6$ inches).

Answer:

Part A: 6 inches
Part B: 5.6 inches