SOLUTION: Nick has a beautiful rectangular garden, which measures 4m by 3 m. He wants to create a uniform border of river rocks around three sides of his garden. If he wants the area of the

Algebra ->  Test -> SOLUTION: Nick has a beautiful rectangular garden, which measures 4m by 3 m. He wants to create a uniform border of river rocks around three sides of his garden. If he wants the area of the       Log On


   

Question 1160184: Nick has a beautiful rectangular garden, which measures 4m by 3 m. 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, approximately how wide should the border be?
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Total area - garden area = 12

Length =2x+4
width =x+3
(2x+4)(x+3)-12 =12
2x^2+6x+4x+12-12=12
2x^2+10x-12=0
divide by 2
x^2+5x-6=0
(x+6)(x-1)=0
x=-6 or x=1
X=-6 ignore
width =1 m

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

This problem admits and has another solution, too, if the three sides are chosen by another way.

The fact that the condition does not mention about this additional opportunity, is the FAULT of the problem's formulation.