SOLUTION: The dimensions of a rectangle are such that length is 9 inches more than width. If the length is doubled and the width decreased by 4 in. The are would be increased by 138 in ^. Wh

Algebra.Com
Question 980216: The dimensions of a rectangle are such that length is 9 inches more than width. If the length is doubled and the width decreased by 4 in. The are would be increased by 138 in ^. What are the length and width of the rectangle
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
x=9+y for length with width y.
Area is .

New rectangle,
----OBVIOUS MISTAKE MADE HERE.
-
Simplify this new rectangle equation.




-
What to do next, is substitute for A using the original area equation.




-
The meaningful value for *y is .
*.
-
*Those are wrong, because of the noted OBVIOUS MISTAKE.
New rectangle width should be y-4, not y+4.


DONE CORRECTLY, THIS IS HOW THE STEPS GO:
-


NEW:






-

-
Returning to


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

The dimensions of a rectangle are such that length is 9 inches more than width. If the length is doubled and the width decreased by 4 in. The are would be increased by 138 in ^. What are the length and width of the rectangle
Width of original rectangle:  in
Length of original rectangle: 14 + 9, or im
RELATED QUESTIONS

The dimensions of a rectangle are such that its length is 5 inches more than its width.... (answered by lynnlo)
the dimensions of a rectangle are such that its length is 5 inches more than its width.... (answered by stanbon)
The dimensions of a rectangle are such that it's length is 3 inches more than it's width. (answered by richwmiller,Theo)
please help me solve this problem: the dimensions of a rectangle are such that its... (answered by mananth)
How do you solve this? The dimensions of a rectangle are such that its length is 3... (answered by htmentor)
the dimensions of a rectangle are such that it's length is 9 inches more than it's width. (answered by richwmiller)
The dimensions of a rectangle are such that its length is 9 in. more than its width.... (answered by lwsshak3)
dimensions of rectangle 9 inches more than width if length doubled the width were... (answered by josgarithmetic)
The dimension of a rectangle are such that the length is 5 inches more than its width. If (answered by mananth)