Question 1140065

The dimensions of a rectangular garden are 5m x 8m. There is a path around the garden of uniform width that is the same area as the garden. What are the dimensions of the backyard? (DRAW PICTURE)
<pre>Let width of path be W
Correct equation: (5 + 2W)(8 + 2W) = 80 =====> {{{matrix(1,3, 2W^2 + 13W - 20, "=", 0)}}}
Solve that for W, the width of the UNIFORM path. You should get a value of: {{{highlight_green(matrix(1,2, 1.28459, m))}}}
Add this to 5 and to 8 to get the dimensions of the backyard, considering that it only contains the garden and the UNIFORM path around the garden.