SOLUTION: If the length of a rectangle is increased by 50%, by what % must the width be decreased if the area is to remain the same?
Algebra.Com
Question 167236: If the length of a rectangle is increased by 50%, by what % must the width be decreased if the area is to remain the same?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If the length of a rectangle is increased by 50%, by what % must the width be decreased if the area is to remain the same?
-------------------------
Increased by 50% is times 1.5, or times 3/2.
For the product L*W (= area) to remain the same, the Width must be 2/3, or decreased by 1/3.
Area = LW original
Area = (3/2)L * (2/3)W = LW
RELATED QUESTIONS
The width of a rectangle is decreased by 20%. By what percent would the length have to be (answered by Edwin McCravy)
The length of a rectangle is 15 inches, and its width is 10 inches. If the perimeter must (answered by solver91311)
the length of a rectangle is increased by 80%. By what percent must its width be... (answered by ankor@dixie-net.com)
if the length of a rectangle is increased by 10% and the area is unchanged , then by what (answered by Mathtut,ankor@dixie-net.com)
The length of a rectangle is 4 centimeters more than its width. If the length is... (answered by josgarithmetic)
If the length of a rectangle is increased by 40% and its width is decreased by 20%, what... (answered by checkley77)
the length of a rectangle is increased by 80%. by what percent would be the width have to (answered by edjones)
if the length of a certain rectangle was decreased by 6 feet and the width increased by 8 (answered by Finavon)
if the length of a rectangle is increased by 20% and width of the same rectangle is... (answered by josgarithmetic)