SOLUTION: The length of a rectangle is 7 inches longer than it is wide. If the area is 228 square inches, what are the dimensions of the rectangle?

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Question 864319: The length of a rectangle is 7 inches longer than it is wide. If the area is 228 square inches, what are the dimensions of the rectangle?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
w and L width and length
L=w%2B7 and wL=228 according to what's given.
w%28w%2B7%29=228
w%5E2%2B7w-228=0

228=114*2=57*2*2=3*19*2*2, find 12 and 19 a useful factorization

%28w-12%29%28w%2B19%29=0
-
highlight%28w=12%29 is sensible for width;
L=12%2B7=highlight%2819=L%29.


This question could also first be solved completely in symbols.