SOLUTION: A rectangle has a length of 4x+3 and a width of x+37 .For what values of x would the rectangle have a perimeter of at least 400?

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Question 1113504: A rectangle has a length of 4x+3 and a width of x+37 .For what values of x would the rectangle have a perimeter of at least 400?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

given:
a length of L=4x%2B3 and
a width of W=x%2B37
if a perimeter of at least P=400, and we know that P=2%28L%2BW%29, substitute given values
400=2%284x%2B3%2Bx%2B37%29....solve for x
400%2F2=4x%2B3%2Bx%2B37
200=5x%2B40
200-40=5x
160=5x
160%2F5=x
x=32
now we can find L=4x%2B3 and W=x%2B37
L=4x%2B3
L=4%2A32%2B3
L=131
W=x%2B37
W=32%2B37
W=69
check:
P=2%28L%2BW%29
P=2%28131%2B69%29
P=2%28200%29
P=400