SOLUTION: The length of a square is increased by 8 and the width is decreased by 4. The area of the resulting is 12 square units more than the area of the square. How do I find the dimensi
Algebra.Com
Question 286661: The length of a square is increased by 8 and the width is decreased by 4. The area of the resulting is 12 square units more than the area of the square. How do I find the dimensions of the rectangle.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Let the length of side be x
area of square = x^2
side increased by 8 = x+8
side decreased by 4 = x-4
Resulting area = ( x-4)(x+8)
x^2+12= (x-4)(x+8)
x^2+12=x^2+8x-4x-32
x^2+12= x^2+4x-32
x^2-x^2-4x=-32-12
-4x=-44
x=11
x+8 is the length = 11+8=19
x-4= width = 11-4=7
The dimensions are 11 and 7
RELATED QUESTIONS
If the length of a rectangle is increased by 40% and its width is decreased by 20%, what... (answered by checkley77)
Two opposite sides of a square with length x are increased by 3 units each and the other... (answered by Theo)
A rectangle is twice as long as it is wide. If the width is increased by 25% and the... (answered by mananth)
if the length of a rectangle is increased by 120%and its width is decreased by 20%,what... (answered by nerdybill)
If a rectangular region having an area of 500 square units has its length increased by... (answered by stanbon)
If the length of a rectangle is decreased by 2 inches and its width is increased by 2... (answered by ankor@dixie-net.com)
The perimeter of a rectangle is 120ft. When the width is increased by 9 ft. And the... (answered by josgarithmetic)
I need help solving please:
When the length of a square is increased by 6 and the... (answered by dabanfield,Earlsdon)
if two opposite side of a square are each increased by 3centimeters, and the other sides... (answered by mananth)