(Multiple Choice Worth 4 points)
1 answer:
<u>Rectangle A</u>
P = 2l + 2w
P = 2(3x + 2) + 2(2x - 1)
P = 2(3x) + 2(2) + 2(2x) - 2(1)
P = 6x + 4 + 4x - 2
P = 6x + 4x + 4 - 2
P = 10x + 2
<u>
Rectangle B</u>
P = 2l + 2w
P = 2(x + 5) + 2(5x - 1)
P = 2(x) + 2(5) + 2(5x) - 2(1)
P = 2x + 10 + 10x - 2
P = 2x + 10x + 10 - 2
P = 12x + 8
<u>Rectangle B - Rectangle A</u>
(12x + 8) - (10x + 2)
12x - 10x + 8 - 2
2x + 6
The correct answer is B.
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B. w = 4
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As we know, in a parallelogram length of opposite sides are equal.
so, AD = BC
⇒ 4w - 5 = 7w - 17
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