Question

20 POINTS!!

Answer 1

9514 1404 393

Answer:

  P = 3x +32

Step-by-step explanation:

If we assume the short vertical edge at top center is 10 yards, as it was in two previous problems with this geometry, then we can find the area of the present parking lot as ...

  (x-2)(3x) + x(3x -10) +2x(40) = 6x^2 +64x

where the left vertical rectangle is 3x high and x-2 wide; the center area between vertical rectangles is (2x-2)-(x-2) = x wide and (3x-10) high; and the right vertical rectangle is (x-2 +3x)-(2x-2) = 2x wide and 40 high.

As we said, the right vertical rectangle is 2x wide, so the area that has P as one of its dimensions is ...

  A = LW = P(2x)

We want this to be the same as the existing area, so ...

  2Px = 6x^2 +64x

  P = 3x +32 . . . . . divide by 2x