The perimeter of a rectangle is 2(l + w) = 30. If length is 8, what is width?

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Multiple Choice

The perimeter of a rectangle is 2(l + w) = 30. If length is 8, what is width?

Explanation:
The key idea is using the perimeter formula for a rectangle and then solving for the missing side. The perimeter 30 means the sum of length and width is 15, since 2(l + w) = 30 → l + w = 15. If the length is 8, the width must be 15 − 8 = 7. You can check: 2(8 + 7) = 2 × 15 = 30, which matches. Other options would not give a perimeter of 30 (for example, width 14 gives 44, width 8 gives 32, width 15 gives 46). So the width is 7.

The key idea is using the perimeter formula for a rectangle and then solving for the missing side. The perimeter 30 means the sum of length and width is 15, since 2(l + w) = 30 → l + w = 15. If the length is 8, the width must be 15 − 8 = 7. You can check: 2(8 + 7) = 2 × 15 = 30, which matches. Other options would not give a perimeter of 30 (for example, width 14 gives 44, width 8 gives 32, width 15 gives 46). So the width is 7.

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