SOLUTION: The length of a rectangle is 7 feet longer than it is wide. If each side is increased 7 feet, then the area is multiplied by 4. What was the size of the original rectangle?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The length of a rectangle is 7 feet longer than it is wide. If each side is increased 7 feet, then the area is multiplied by 4. What was the size of the original rectangle?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1138435: The length of a rectangle is 7 feet longer than it is wide. If each side is increased 7 feet, then the area is multiplied by 4. What was the size of the original rectangle?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
BEFORE
x+7 and x

AFTER
x+14 and x+7

The change: Multiplied Area by 4
4x%28x%2B7%29=%28x%2B14%29%28x%2B7%29
-
4x%2Across%28%28x%2B7%29%29=%28x%2B14%29cross%28%28x%2B7%29%29
4x=x%2B14
3x=14
x=14%2F3 and x%2B7=14%2F3%2B7=14%2F3%2B21%2F3=35%2F3

Original Rectangle
Length: 35%2F3
Width: 14%2F3