High School

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A store owner wants to buy a new rectangular rug. The rug must be between 97 and 107 square feet. The rug must be less than 10 feet long.

Draw a rectangle that could represent the new rug.

Answer :

The width of the rectangle rectangle greater than or equal to 9.7 feet but less than or equal to 10.7 feet.

The diagram of the new rug is attached.

What is the width of the rectangle?

Area of the rug must be greater than or equal to 97 and less than or equal to 107 square feets.

Length of the rug = less than 10 feet

Width of the rug = x

So,

Area ≥ Length x width

97 ≥ 10 × x

97 ≥ 10x

x ≥ 97/10

x ≥ 9.7 feet

Also,

Area ≤ Length x width

107 ≤ 10 × x

107 ≤ 10x

x ≤ 107/10

x ≤ 10.7 feet

Therefore, the width of the rectangle greater than or equal to 9.7 feet but less than or equal to 10.7 feet.

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