SOLUTION: Could you please help me answer this, I do not know how to solve it. "If a rectangle's length is increased by 30% and its width is decreased by 30%, what is the percent change i

Question 450566: Could you please help me answer this, I do not know how to solve it.
"If a rectangle's length is increased by 30% and its width is decreased by 30%, what is the percent change in area?"
Thank you for your time!
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
"If a rectangle's length is increased by 30% and its width is decreased by 30%, what is the percent change in area?"
.
Let x = original width
and y = original length
then
area = xy
.
after change:
width = x - .30x = .70x
length = y + .30y = 1.30y
then
area = (.70x)(1.30y) = .91xy
.
percent change in area:
(xy - .91xy)/xy *100
(.09xy)/xy *100
.09 * 100
9% decrease in area
RELATED QUESTIONS
I am having a hard time with this one question that I have to do for homework, so someone (answered by Alan3354)

A rectangle has an area of 148cm. If the length is decreased by 3cm and its width is... (answered by josgarithmetic,MathTherapy)

The width of a rectangle is nine less than the length. If the sides of the rectangle are... (answered by MathTherapy)

I went back in our archives and found a question that did not have a solution but was... (answered by htmentor)

Directions are to solve: The perimeter of a rectangle is 180 feet. the width of the... (answered by Earlsdon)

Please...Please help i need to do this problem and i'm going to have a test tomorrow and... (answered by jsmallt9)

The length a rectangle is twice that of its width. If the area of the rectangle is 72... (answered by josgarithmetic,MathTherapy)

Question 939757: The length a rectangle is twice that of its width. If the area of the... (answered by stanbon)

The length of a rectangle is 5 centimetres more than twice the width. The perimetre is 82 (answered by edjones)