SOLUTION: the diagonal of a rectangle is 36cm long. if the rectangle is twice as long as it is wide find the width of the rectangle
Algebra.Com
Question 885506: the diagonal of a rectangle is 36cm long. if the rectangle is twice as long as it is wide find the width of the rectangle
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the diagonal of a rectangle is 36cm long.
if the rectangle is twice as long as it is wide find the width of the rectangle
:
Let x = the width
then
(2x) = the length
:
Using pythag: a^2 + b^2 = c^2, where
a = x
b = (2x)
c = 36
:
x^2 + (2x)^2 = 36^2
x^2 + 4x^2 = 1296
5x^2 = 1296
x^2 = 1296/5
x^2 = 259.2
x =
x = 16.1 is the width
:
:
You can check this for yourself: does 16.1^2 + 32.2^2 = 36^2?
RELATED QUESTIONS
The diagonal of a rectangle measures 10. If the rectangle is twice as long as it is wide, (answered by checkley77)
A rectangle is twice as long as it is wide. If the width is a, what is the length of its... (answered by Fombitz)
A rectangle is twice as long as it is wide. If the width of the rectangle is 3 inches,... (answered by solver91311)
A rectangle is twice as long as it is wide, and its area is 32 square meters. Find the... (answered by Alan3354)
a rectangle is twice as long as it is wide. The area of the rectangle is 32 square feet.... (answered by Alan3354)
A rectangle is twice as long as it is wide, and it's area is 98 square meters. Find the... (answered by Nate)
a rectangle is twice as long as it is wide and its area is 98 square meters. Find the... (answered by rfer)
A rectangle is 4 times as long as it is wide. If the length of the diagonal is 51... (answered by amarjeeth123)
The length of a rectangle is 2 inches more than twice its width. If the length is... (answered by mananth)