Question

A rectangle has one side 5 inches and a diagonal of 15 inches. How do you find the perimeter of the rectangle?

Answer 1

Perimeter of rectangle is `38.28` inches.

Explanation:

Side and diagonal of rectangular is `s_1=5,d=15` inches

`d^2=s_1^2+s_2^2:. 15^2 =5^2+s_2^2` or

`s_2^2=15^2-5^2=200 :.s_2=sqrt(200)~~14.14` inches

Perimeter of rectangle is `P=2(s_1+s_2)=2(5+14.14)`

`:. P=2*19.14~~ 38.28` inches.

Perimeter of rectangle is `38.28` inches [Ans]