Q:

Solve for 15... check if you have the same answer as mine

Accepted Solution

A:
15 Part AYou use the FOIL rule to get (x+6)(x+19) = x^2 + 25x + 114. So it appears you're a bit on the right track, but you forgot to multiply 6 and 19 to get 114.That polynomial represents the area of the pool plus the area of the deck around the pool. The area of the pool only is x(x+13) = x^2 + 13x.Subtract the two polynomials to get(x^2 + 25x + 114) - (x^2 + 13x)x^2 + 25x + 114 - x^2 - 13x(x^2 - x^2) + (25x - 13x) + 1140x^2 + 12x + 1140 + 12x + 11412x + 114Therefore, the area of the deck only is represented by the expression 12x+114Answer to part A: 12x + 114=================================================15 Part Bx = width of the poolPlug x = 13 into the expression we found for part Aarea of deck only = 12x + 114area of deck only = 12*13 + 114area of deck only = 156 + 114area of deck only = 270Answer to part B: Β 270 square feet