SOLUTION: A grass-plot, 18 yards long and 12 wide, is surrounded by a border of flowers of a uniform width. The areas of the grass-plot and border are equal. What is the width of the border?

Question 1079164: A grass-plot, 18 yards long and 12 wide, is surrounded by a border of flowers of a uniform width. The areas of the grass-plot and border are equal. What is the width of the border?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
x, the uniform width of the flower border

total area of the yard plus flower border:

Just the yard area:

Just the border area:

Area of grass-plot yard and of the surrounding border are equal.

Solve this for the border width, x.
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