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 = √(169)`

`x = 13`