SOLUTION: A rectangle has a base of 2x+3 and a height of 4x+7. If the perimeter is 200 units, what is the value of x and the length of the base and height?
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Question 1054040: A rectangle has a base of 2x+3 and a height of 4x+7. If the perimeter is 200 units, what is the value of x and the length of the base and height? Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! base(b) = 2x+3
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height(h) = 4x+7
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Perimeter(P) of the rectangle = 2b + 2h
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200 = 2(2x+3) + 2(4x+7)
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200 = 4x+6 + 8x+14
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200 = 12x + 20
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divide both sides of = by 4
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50 = 3x + 5
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3x = 45
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x = 15
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base(b) = 2x+3 = 2(15) + 3 = 33
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height(h) = 4x+7 = 4(15) + 7 = 67
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check answers
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200 = 2(33) + 2(67) = 66 + 134 = 200
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our answer checks
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