SOLUTION: The length of a rectangle is increased by 30 percent and its width is increased by 20 percent. By what percent does the area increase? (A) 50 (B) 54 (C) 56 (D) 60 (E) 156

Algebra.Com
Question 1187187: The length of a rectangle is increased by 30 percent and its width is increased by 20 percent. By what percent does the area increase?
(A) 50 (B) 54 (C) 56 (D) 60 (E) 156

Found 3 solutions by ikleyn, ankor@dixie-net.com, MathLover1:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

By  (1+0.3)*(1+0.2) - 1 = 1.3*1.2-1 = 1.56 - 1 = 0.56 = 56%.    ANSWER

Solved.



Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
The length of a rectangle is increased by 30 percent and its width is increased by 20 percent.
By what percent does the area increase?
(A) 50 (B) 54 (C) 56 (D) 60 (E) 156
:
let the original area = 1 * 1 = 1
the new area: 1.3 * 1.2 = 1.56
find the area increase .56/1 or 56%

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!


the length increase % =>
the width increase %=>


difference

=> increase of %

RELATED QUESTIONS

The length of a rectangle is increased by 20 percent and its width is increased by fifty... (answered by dabanfield)
When the length of a rectangle is increased by 20% and the width increased by 10%, by... (answered by DrBeeee)
When the length of a rectangle is increased by 20% and the width increased by 10%, by... (answered by josmiceli)
If the length and width of a rectangle are each increased by ten percent, then the... (answered by stanbon)
The length of a rectangle is increased by 25% and the width of the rectangle is increased (answered by rfer)
The length of a rectangle is reduced by 30%. By what percent would the width have to be... (answered by ikleyn)
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 increased by 80%. By what percent must its width be... (answered by ankor@dixie-net.com)
If the length and width of a rectangle is increased by 10 percent,then the perimeter of... (answered by Alan3354)