Question

1. connie is planning a square patio which must have an area of 22 square yards. a. what is the best estimate for the patios side length to the nearest hundredth? b. connie only has a yard - stick with her. it is marked in one - inch increments, so each increment is 1/36 of a yard. after measuring full yards, which mark on the yard stick is closest to the remaining side length of the patio?

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. We know that $A = 22$ square yards. So, $s=\sqrt{A}$.

Step2: Calculate the side - length

Substitute $A = 22$ into the formula $s=\sqrt{A}$. So, $s=\sqrt{22}\approx4.69$ yards.

Answer:

The best estimate for the patio's side length to the nearest hundredth is 4.69 yards.