The width of a rectangular playground is 2x-5 feet, and the length is 3x + 9 feet. How do you write a polynomial P(x) that represents the perimeter and then evaluate this perimeter and then evaluate this perimeter polynomial if x is 4 feet?

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Answer 1 · 2018-04-25T01:18:23

The perimeter is twice the sum of the width and length.

#P(x) = 2( (2x-5) + (3x+9)) = 2(5x+4)=10x+8 #

#P(4) = 10(4) + 8 = 48 #

Check. #x=4# means a width of #2(4)-5=3# and a length of #3(4)+9=21# so a perimeter of #2(3+21)=48. quad sqrt#