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29. a contractor is building a patio in the shape of a square. the pati…

Question

  1. a contractor is building a patio in the shape of a square. the patio will cover 915 square feet. estimate the length of the side of the patio to the nearest integer. a. about 30 ft c. about 28 ft b. about 29 ft d. about 7 ft

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 $A = 915$ square feet, we need to find $s=\sqrt{A}=\sqrt{915}$.

Step2: Estimate the square - root

We know that $29\times29=841$ and $30\times30 = 900$ and $31\times31=961$. Since 915 is closer to 900 than to 961.

Answer:

A. about 30 ft