Question

finding lengths sketch the figure that is described. find the requested length. round decimals to the nearest tenth. 22. the perimeter of a square is 36 inches. find the length of a diagonal.

Explanation:

Step1: Find side length of square

Perimeter of square: $P=4s$, so $s=\frac{P}{4}=\frac{36}{4}=9$ inches

Step2: Calculate diagonal length

Use Pythagorean theorem: $d = s\sqrt{2}$
$d=9\sqrt{2}\approx9\times1.414=12.726$

Step3: Round to nearest tenth

Round 12.726 to 12.7

Answer:

12.7 inches