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A rectangle with dimensions of 3 units by 7 units is enlarged by a scale factor of 1.1. By what percent does it’s area increase?

User Choy
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1 Answer

6 votes

Answer:


21\%

Explanation:

Original dimensions of the rectangle


l=7\ \text{units}


w=3\ \text{units}

Area of the rectangle


A=7* 3=21\ \text{units}^2

Scale factor = 1.1

New dimensions


l'=7* 1.1=7.7\ \text{units}


w'=3* 1.1=3.3\ \text{units}

The new area of the rectangle


A'=7.7* 3.3=25.41\ \text{units}^2

Percentage change is given by


(A'-A)/(A)* 100\\ =(25.41-21)/(21)* 100=21\%

The percentage by which the area of the rectangle increases is
21\%.

User Misorude
by
8.3k points

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