Question

Benjamin is doing some remodeling at his home. He currently has a triangular patio that has a base that is four times as long as its height. He wants to increase the length of the base of the patio by 2 feet and the length of the height of the patio by 9 feet. If x represents the height of the patio, which of the following functions will give the area of the new patio?

Answer 1

`a_(old) = (1)/(2) (x)(4x) = 2 {x}^(2)`

`a_(new) = (1)/(2) (x + 9)(4x + 2)`

`= (x + 9)(2x + 1)`

`= 2 {x}^(2) + 19x + 9`