SOLUTION: the length of a rectangle is 7 in. more than twice its width. its area is 270 in. find the width of the rectangle

Algebra ->  Rectangles -> SOLUTION: the length of a rectangle is 7 in. more than twice its width. its area is 270 in. find the width of the rectangle      Log On


   

Question 221066: the length of a rectangle is 7 in. more than twice its width. its area is 270 in. find the width of the rectangle
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
the length of a rectangle is 7 in. more than twice its width. its area is 270 in. find the width of the rectangle
lets call width w and length l
l=7%2B2w
wl=270
w%287%2B2w%29=270
7w%2B2w%5E2-270=0
2w%5E2%2B7w-270=0 we can factor this equation
%282w%2B27%29%28w-10%29=0
because width can't be negative we have to work with (w-10)=0 ONLY so
w-10=0 add 10 to both sides
w=10
so width is 10