Question

A rectangular rug is 24 feet long and 10 feet wide. A rhombus design is formed inside the rug by joining the midpoints of each side of the rectangle. What is the length of each side of the rhombus?

Answer 1

Hey There @Quey11,

$\boxed{13 \text { feet}}$

Solution

The half-side lengths are 5 feet and 12 feet, the pythagorean theorem will help us solve for the answer.

$5^{2} +12^{2}= x^2$

$5^2 = 25$

$12 ^ 2 = 144$

$144 + 25 = 169$

$c = 169$

$x = \sqrt{169}$

$x = 13$