Question

the diagonal of a square equals $sqrt{2}$ times the side length. what is the length of the diagonal if the side length of a square is 700 ft. round to the nearest tenth. (1 point)
989.9
989.95
989.94
990

Explanation:

Step1: Identify the formula

The formula for the diagonal $d$ of a square is $d = s\sqrt{2}$, where $s$ is the side - length.

Step2: Substitute the side - length value

Given $s = 700$ ft, so $d=700\sqrt{2}$.

Step3: Calculate the value

$700\sqrt{2}\approx700\times1.414213562 = 989.9494934$.

Step4: Round to the nearest tenth

Rounding 989.9494934 to the nearest tenth gives 989.9.

Answer:

A. 989.9