Question

16. Mr. Holmes is buying mulch for his triangular- shaped garden shown below. The mulch he is purchasing costs $3.75 per bag. If each bag covers 18 square feet, how much will it cost him? 12 ft 8 Ft 7.1 ft ift

Answer 1

Given:

The cost of mulch per bag, C=$3.75.

The area covered by each bag, a=18 sq. ft.

The base length of triangular- shaped garden , b=12 ft.

The altitude of triangular- shaped garden , h=7.1 ft.

Now, the area of the triangular-shaped garden can be calculated as,

`\begin{gathered} A=(1)/(2)bh \\ =(1)/(2)*12*7.1 \\ =42.6\text{ sq ft} \end{gathered}`

Now, the number of bags of mulch needed for the triangular- shaped garden is,

`\begin{gathered} n=(A)/(a) \\ =(42.6)/(18) \end{gathered}`

The total cost of bags of mulch needed for the triangular- shaped garden is,