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The length of a living room is 12 feet and its width is 1012

feet. The length of the room is being expanded by x feet. Select all the expressions that represent the area of the living room in square feet.

1 Answer

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Answer: The area of the living room in square feet is given by:

A = length × width

Before the expansion, the length is 12 feet and the width is 10 feet. Therefore, the initial area is:

A = 12 ft × 10 ft = 120 ft²

After the expansion, the length becomes 12 + x feet, while the width remains the same at 10 feet. Therefore, the area after the expansion is:

A = (12 + x) ft × 10 ft = 120 + 10x ft²

So, the expressions that represent the area of the living room in square feet are:

120 ft²

120 + 10x ft²

Therefore, both expressions are correct.

Explanation:

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