SOLUTION: a. Find the area of a rectangle with sides 2x-7 and x+14 b. A rectangle has sides (x+9) and (2x+15). Find x if its perimeter is to be 300 units.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: a. Find the area of a rectangle with sides 2x-7 and x+14 b. A rectangle has sides (x+9) and (2x+15). Find x if its perimeter is to be 300 units.      Log On

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Question 39293: a. Find the area of a rectangle with sides 2x-7 and x+14
b. A rectangle has sides (x+9) and (2x+15). Find x if its perimeter is to be 300 units.

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
a) A = LW = (2x-7)(x+14) = 2x^2 + 28x - 7x - 98 =
2x^2 + 21x - 98
b) P = 2L + 2W and so plugging in we get
P = 300 = 2(x+9) + 2(2x+15)
300 = 2x + 18 + 4x + 30
300 = 6x + 48
6x = 252
x = 42