ExplanationChoose smart numbers for the dimensions of the rectangle—for instance, length = 20 and width = 10.

The original area of the rectangle = length × width = 200. After a 10% increase for both the length and the width, the area becomes 22 × 11 = 242.

Use the formula for percent change:

Percent Change =\(\frac{Difference}{Original} \times 100\%\)=\(\frac{242-200}{200} \times 100\%=21\%\)

Quantity A is greater.

Alternatively, use logic. The formula for area requires multiplying the length and the width. If just one side is increased by 10%, then the overall area will increase by 10%. If two sides are increased by 10%, then the overall area will increase by more than 10%.

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Sandy

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