Question

question

1. if the diagonal of a square is 11.3 meters, approximately what is the perimeter of the square? round to the nearest hundredth if necessary.

answer attempt 1 out of 2
additional solutions no solution

Explanation:

Step1: Relate diagonal to side length

For a square, diagonal $d = s\sqrt{2}$, so solve for side $s$:
$s = \frac{d}{\sqrt{2}}$
Substitute $d=11.3$:
$s = \frac{11.3}{\sqrt{2}}$

Step2: Calculate side length

Simplify the expression:
$s = \frac{11.3}{\sqrt{2}} \approx 7.990$ meters

Step3: Find perimeter of square

Perimeter $P = 4s$
Substitute $s\approx7.990$:
$P = 4\times7.990 = 31.98$ meters

Answer:

31.98 meters