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Elodia [21]
2 years ago
12

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)
Mathematics
1 answer:
velikii [3]2 years ago
6 0

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.

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