SOLUTION: The length of a rectangle is (3y+2x) and its width is (x-y) cm. The length is then increased by 4 cm,and the width is halved. 1. Write down a simplified expression for the perimete

Question 934793: The length of a rectangle is (3y+2x) and its width is (x-y) cm. The length is then increased by 4 cm,and the width is halved. 1. Write down a simplified expression for the perimeter of the elongated rectangle. 2. If the perimeter of the newly elongated rectangle is 43 cm, and y is 1 cm find the value of x.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
L = (3y + 2x) + 4
w = (x - y)/2
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p = 2L + 2w
p = 2( 3y + 2x + 4 ) + 2( (x - y)/2 )
p = 6y + 4x + 8 + x - y
p = 5y + 5x + 8
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43 = 5*1 + 5x + 8
5x = 43 - 5 - 8
x = (43 - 5 - 8)/5
x = 6
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