Answer
P = (14x - 4) inches
A = (5x$^2$ + 33x - 14) square inches
Work Step by Step
P = 2x + (5x - 2) + 2x + (5x - 2)
P = 2x + 5x - 2 + 2x + 5x - 2
Combine like terms:
P = 2x + 5x - 2 + 2x + 5x - 2
P = (2x + 5x + 2x + 5x) + ( -2 - 2)
P = (14x - 4) inches
A = bh, where b is the length of the base and h is the height
As b = 5x - 2 and h = x +7, the area can be written as:
A = (5x - 2)(x + 7)
To combine this expression, use FOIL (First, Outer, Inner, Last):
A = (5x - 2)(x + 7)
A = 5x(x) + 5x(7) - 2(x) - 2(7)
A = 5x$^2$ + 35x - 2x - 14
A = 5x$^2$ + 33x - 14 square inches
