SOLUTION: How I can the mathematical equation for the problem, A garden 7 m by 12 mwill be expanded by planting a border of flowers .The borders will be of the same width around the

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: How I can the mathematical equation for the problem, A garden 7 m by 12 mwill be expanded by planting a border of flowers .The borders will be of the same width around the      Log On


   

Question 974468: How I can the mathematical equation for the problem, A garden 7 m by 12 mwill be expanded by planting a border of flowers .The borders will be of the same width around the entire garden and has an area of 92 square meter
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The question would be, what is the width of the border of flowers?

ASSIGN VARIABLES
w and L, width and length of the garden before adding the surrounding flowers.
u, UNKNOWN width of the border of the flowers.
A, the area of the border of flowers surrounding the w & L part of the garden.

ANALYZE AND MAKE THE NEEDED EQUATION
wL, garden without the flower border
%28w%2B2u%29%28L%2B2u%29, whole area of combined flower border and unflowered garden
highlight%28%28w%2B2u%29%28L%2B2u%29-wL=A%29, just the area of the border of flowers

The red-outlined equation has only the one unknown variable, u. Simplify, solve for u, and then evaluate u according to:
A=92
w=7
L=12