SOLUTION: If the length of a rectangle is twice its width.if the length of the diagonal of the rectangle is square root of 15, fint the length of the rectangle.

Algebra ->  Pythagorean-theorem -> SOLUTION: If the length of a rectangle is twice its width.if the length of the diagonal of the rectangle is square root of 15, fint the length of the rectangle.       Log On


   



Question 785861: If the length of a rectangle is twice its width.if the length of the diagonal of the rectangle is square root of 15, fint the length of the rectangle.

Answer by vic21(4) About Me  (Show Source):
You can put this solution on YOUR website!
c^2 = a^2 + b^2
√15 is the hypotenuse
if L = 2W
then
(2W)^2 + W^2 = (√15)^2
4W^2 + W^2 = 15
5w^2 = 15
w^2 = 15/5 = 3
w= √3
then from L=2W
L= 2(√3)
ANSWER : L = 2√3 or 3.46