A landscaper, who just completed a rectangular flower garden measuring 15 feet in length by 7 feet in width, orders 1 cubic yard of premixed cement, all of which is to be used to create a border of uniform width around the garden. if the border is to have a depth of 44 inches, how wide will the border be?

The width of the border will be 0.1648... ft  or  1.9786... inches.

Explanation

Lets assume, the width of the border is   ft.

The rectangular garden is 15 ft in length and 7 ft in width. So, the area of the garden

Now, the length of the garden including border and the width of the garden including border

So, the area of the garden including the border

Thus the area of the border

Total amount of premixed cement needed is  1 yard³ = 27 ft³

As the depth of the border is 44 inches or or , so....

Using quadratic formula....

(Negative value ignored)

So, the width of the border