SOLUTION: A rectangle has a length twice as long as the width and an area of 50 square feet. How long is the diagonal of the rectangle?

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Question 384067: A rectangle has a length twice as long as the width and an area of 50 square feet. How long is the diagonal of the rectangle?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
width = x
lebgth =2x
area =50 ft^2
..
L*W= Area
x*2x=50
2x^2=50
/2
x^2=25
sqrt%28x%5E2%29=sqrt%2825%29
x=5 feet the width
length = 2x= 10 feet
..
Diagonal^2= L^2+W^2
D^2=5^2+10^2
D^2=125
sqrt%28d%5E2%29=sqrt%28125%29
d=11.2 feet the diagonal
..
m.ananth@hotmail.ca