SOLUTION: One side of a rectangle is 4 inches longer than the other side. The area of the rectangle is 21 square inches. Find the lengths of each side.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: One side of a rectangle is 4 inches longer than the other side. The area of the rectangle is 21 square inches. Find the lengths of each side.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1137995: One side of a rectangle is 4 inches longer than the other side. The area of the rectangle is 21 square inches. Find the lengths of each side.
Found 2 solutions by math_helper, Alan3354:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

L = W + 4
LW = 21
(W+4)W = 21
+W%5E2+%2B+4W+-+21+=+0+
+%28W%2B7%29%28W-3%29+=+0+
W=3 (discard solution W=-7)
This implies L=7


Answer: Length is 7in, width is 3in

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Jeez.
less than 1 second to think of 3*7 = 21
Like a flash card.
======================
Find factors of 21 that differ by 4
21 = 1*21 NG
21 = 3*7 That's it.
----------------------
The other tutor made a quadratic equation, then factored it, finding the same 2 factors, 3 & 7.
------------------
If the solution was not integers, it would be different. but WAKE UP.