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The perimeter of a rectangle is 256 inches. How long are the sides if the length exceeds the width by 16 inches? mark X represent the width of the rectangle and write the Equation 2X +2(x+16)=256. Solving for X the width of the rectangle is what

User Macjohn
by
6.5k points

1 Answer

3 votes
Answer: 56 inches

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Equation Given
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2x +2(x + 16) = 256

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Apply Distributive Property
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2x + 2x + 32 = 256

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Combine like terms
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4x + 32 = 256

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Subtract 32 from both sides
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4x = 224

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Divide by 4 on both sides
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x = 56

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Answer: The width is 56 inches.
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User Sbywater
by
7.3k points
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