Question

If the length of a rectangle is increased by 120%, and its width is decreased by 20%, what is the percentage change in the area of the rectangle? (rea=length*width)

Answer 1

Answer:

The area of the rectangle is increased in 76 percent.

Step-by-step explanation:

The area of a rectangle ($A$) is represented by the following formula:

$A = w\cdot l$

Where:

$w$ - Width.

$l$ - Length.

If length is increased by 120 %and width is decreased by 20 %, the percentage change in the area of the rectangle is: ($l = 2.2\cdot l_{o}$, $w = 0.8\cdot w_{o}$)

$A = (2.2\cdot l_{o})\cdot (0.8\cdot w_{o})$

$A = (2.2)\cdot (0.8)\cdot w_{o}\cdot l_{o}$

$A = 1.76\cdot A_{o}$

The area of the rectangle is increased in 76 percent.