SOLUTION: The length of a rectangle is 4 inches more than its width. If 2 inches are taken from the length and added to the width, the figure becomes a square with an area of 361 square inch

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The length of a rectangle is 4 inches more than its width. If 2 inches are taken from the length and added to the width, the figure becomes a square with an area of 361 square inch      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1015879: The length of a rectangle is 4 inches more than its width. If 2 inches are taken from the length and added to the width, the figure becomes a square with an area of 361 square inches.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
What is your question?
.
For a square:
Area =(side)^2
361in%5E2=%28side%29%5E2
sqrt%28361in%5E2%29=sqrt%28side%5E2%29
19in=side
.
The sides of the square are 19 inches
Subtract 2 inches from one side and add to adjacent side:
Dimensions of the rectangle were
(19-2) x (19+2) = 17 x 21
The rectangle was 17 in by 21 in.