Question

Ryan’s rectangular flower bed measures 3ft long 2 feet wide. He wants to cover flower bed with mulch. He knows the area each bag of mulch covers, but only in sq cm. Find area of flower bed in sq cm. Do not round intermediate computation and round you final answer two decimal points.

Answer 1

For this problem, we are given the dimensions of a flower bed. We need to determine the area in square centimeters of the bed, and how many bags of mulch he needs to buy.

The bed is 3 ft by 2 ft. We need to multiply each dimension by 30.48 in order to convert it to centimeters.

We have:

`\begin{gathered} \text{ length}=3\cdot30.48=91.44\text{ centimeters}\\ \\ \text{ width}=2\cdot30.48=60.96\text{ centimeters}\\ \end{gathered}`

Now we need to calculate the bed's area, which is done by multiplying both didimensionWe have:

`A=91.44\cdot60.96=5574.18\text{ square centimeters}`

The bed's area is equal to 5,574.18 square centimeters.

Now we need to determine how many bags he needs to buy, we know that each bag covers 515 cm², and that he can't buy partials. Therefore we need to divide the area of the bed by 515 and round up. We have:

`N=(5574.18)/(515)=10.82\cong11\text{ bags}`

We need approximately 11 bags of mulch.

Now we have to determine how much he will need to spend. For that, we need to multiply the number of bags by the price of each bag:

`\text{ cost}=11\cdot4.46=\text{ \$}49.06`

The cost of mulch will be $49.06