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?

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
:
height(h) = 4x+7
:
Perimeter(P) of the rectangle = 2b + 2h
:
200 = 2(2x+3) + 2(4x+7)
:
200 = 4x+6 + 8x+14
:
200 = 12x + 20
:
divide both sides of = by 4
:
50 = 3x + 5
:
3x = 45
:
x = 15
:
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base(b) = 2x+3 = 2(15) + 3 = 33
:
height(h) = 4x+7 = 4(15) + 7 = 67
:
check answers
:
200 = 2(33) + 2(67) = 66 + 134 = 200
:
our answer checks
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