Answer:
The width of the boarder is 0.83 ft
Explanation:
To provide an answer to the question, we make the following assumptions;
Amount of mulch available for laying = 1 bag
Pattern of laying mulch = Rectangular pattern
Therefore where we have three sides of a shed to lay the mulch, we have
18 ft² = 2×(6+x)×x + 10×x
∴ 18 = 12·x+2·x² + 10·x
or 2·x² + 20·x - 18 = 0
Solving the above quadratic equation, we have
x = -5 + √34 or x = -(5 + √34)
Since we are dealing with the width of the border which is always positive, we have
The width of the boarder = -5 + √34 ft = 0.83 ft.