SOLUTION: The length of a rectangular floor is twice its width. If the area of the floor is 12.5 square meters, what are the dimensions of the floor?

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Question 889921: The length of a rectangular floor is twice its width. If the area of the floor is 12.5 square meters, what are the dimensions of the floor?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You could solve this purely symbolically and do the computations afterward.

Length L, width w.
m=2,
A for area, A=12.5.

L=mw and wL=A.
w%28mw%29=A
mw%5E2=A
w%5E2=A%2Fm
w=sqrt%28A%2Fm%29
You could rationalize the denominator if you wish to.
w=sqrt%28A%2Fm%29%28sqrt%28m%29%2Fsqrt%28m%29%29
highlight%28w=sqrt%28mA%29%2Fm%29
-
L=m%2Asqrt%28mA%29%2Fm
highlight%28L=sqrt%28mA%29%29

Substitute the given values for m and A to compute w and L.