SOLUTION: nick has a beutiful rectangular garden, which measure 3m by 3m. he wants to create a uniform border of river rocks around three sides of his garden. if he wants the area of the bor

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: nick has a beutiful rectangular garden, which measure 3m by 3m. he wants to create a uniform border of river rocks around three sides of his garden. if he wants the area of the bor      Log On


   

Question 931350: nick has a beutiful rectangular garden, which measure 3m by 3m. he wants to create a uniform border of river rocks around three sides of his garden. if he wants the area of the border and the area of his garden to be equal how wide should the border be?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
w for width around the square garden.
Total area garden & border, %282w%2B3%29%5E2;
Garden alone, 3%2A3;
Border area excluding garden, %282w%2B3%29%5E2-3%2A3.

WANTED: Garden area equals border area.
highlight_green%28%282w%2B3%29%5E2-9=9%29, and you just want to solve for w.


highlight%28w=%28-3%2B3sqrt%282%29%29%2F2%29