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

1 Answer
Binayaka C.
Jul 12, 2018

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]

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