SOLUTION: A rectangle is a parallelogram with four right angles. A rectangle has a width of 15 feet and a diagonal of a length 22 feet; how long is the rectangle? What is the perimeter of t

Algebra ->  Parallelograms -> SOLUTION: A rectangle is a parallelogram with four right angles. A rectangle has a width of 15 feet and a diagonal of a length 22 feet; how long is the rectangle? What is the perimeter of t      Log On


   

Question 170585: A rectangle is a parallelogram with four right angles. A rectangle has a width of 15 feet and a diagonal of a length 22 feet; how long is the rectangle? What is the perimeter of the rectangle? Round to the nearest foot. Show all work to receive full credit.

Length of rectangle:

Perimeter of the rectangle:
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Let's see the Rectangle:

.
By Pyth Theorem: d%5E2=l%5E2%2Bw%5E2
l%5E2=d%5E2-w%5E2=22%5E2-15%5E2=484-225=sqrt%28259%29
highlight%28l=16.09ft%29>>>>> 16ft, Length
Then, P=2%28l%2Bw%29=2%2816.09%2B15%29
highlight%28P=62.18ft%29>>>>>>>62ft
See again the rectangle:

Thank you,
Jojo