Chapter 10 - Test - Page 729: 17

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

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.