SOLUTION: Lucas increased the area of his rose garden by 165m^2. The rectangular garden was originally by 16m and 12m, and he increased the length and width by the same amount. Find the fina

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Lucas increased the area of his rose garden by 165m^2. The rectangular garden was originally by 16m and 12m, and he increased the length and width by the same amount. Find the fina      Log On


   

Question 1168634: Lucas increased the area of his rose garden by 165m^2. The rectangular garden was originally by 16m and 12m, and he increased the length and width by the same amount. Find the final dimension of the garden.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x, the amount each dimension was increased

%2816%2Bx%29%2812%2Bx%29-%2816%29%2812%29=165
.
.
.
x%5E2%2B28x-165=0
quadraticequationgeneralsolution
x=%28-28%2B38%29%2F2
highlight_green%28x=5%29

Final dimensions, 21 m and 17 m.