SOLUTION: if the two sidea of a rectangle change so the new area is double the original area,and one side is increased by 50%,what percentage increase or decrease of the other side????

Question 177067: if the two sidea of a rectangle change so the new area is double the original area,and one side is increased by 50%,what percentage increase or decrease of the other side????
Answer by HyperBrain(694) (Show Source): You can put this solution on YOUR website!
Let A=area of the original rectangle
x=length of the orig. rectangle
y=width of the orig. rectangle
Then
A=x*y
If the new area is double the orig. rectangle
Then
2*x*y=area of the new rectangle
if you increase one side (let's say the length) by 50%, you are adding x/2
so the new length is x+(x/2)=3x/2
Let W=new width
Then
2*x*y=(3x/2)W
4*x*y=3xW multiply by 2 both sides
4y=3W divide both sides by x
W=4y/3=y +(y/3)
1/3 is 33 1/3%.
Therefore, the width is increased by 33 1/3%.
Power up,
HyperBrain!
Help us promote our advocacy no straws, no plastics, no styros.
Visit these sites:
http://uselessplastic.wordpress.com
http://uselessplastic.multiply.com
RELATED QUESTIONS
if two sides of a rectangle change so that the new area is double the original area,and... (answered by Edwin McCravy)

if the two sides of a rectangle change so that the area remains constant,and one side is... (answered by colliefan)

The area of a rectangle is 50 square meters. If the length is increased by 25% and the... (answered by Fombitz)

If you double one of the sides of a rectangle, how will the area change? and if you... (answered by josgarithmetic)

If one side of a square is tripled and another side is increased by 4cm,the area of the... (answered by mananth)

If two opposites sides of a square are increased by 6 inches and the other two sides of... (answered by ankor@dixie-net.com)

if the two sides of a rectangle change so that the area remains constant,and one side is... (answered by scott8148,solver91311)

A square is altered so one of the sides is increased by 4 while the other side is... (answered by ankor@dixie-net.com)

the side of a rectangle are 5 and 12. if we inrease both sides by the same amount, the... (answered by ewatrrr)