If a rectangle has perimeter 40 and length 12, what is its width?

Study for the NYPD 1st Trimester Exam. Our resources include flashcards and multiple choice questions, each with hints and explanations. Prepare to excel on your exam!

Multiple Choice

If a rectangle has perimeter 40 and length 12, what is its width?

Explanation:
Rectangle perimeter equals twice the sum of its length and width, so P = 2(L + W). With P = 40 and L = 12, 40 = 2(12 + W). Divide by 2 to get 20 = 12 + W, so W = 8. This width indeed gives a perimeter of 2(12 + 8) = 40. The other options would produce larger perimeters: 10 yields 44, 12 yields 48, and 14 yields 52.

Rectangle perimeter equals twice the sum of its length and width, so P = 2(L + W). With P = 40 and L = 12, 40 = 2(12 + W). Divide by 2 to get 20 = 12 + W, so W = 8. This width indeed gives a perimeter of 2(12 + 8) = 40. The other options would produce larger perimeters: 10 yields 44, 12 yields 48, and 14 yields 52.

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