Question

Donna wants to cover her rectangular patio in cement. The patio measures 8yd long and 6yd wide. She knows the area each bag of cement covers, but only in square. Find the area of donnas patio in square. Do not round intermediate computation and round your final answer two decimal places

Answer 1

For this problem, we are given the dimensions of a rectangular patio. We need to calculate the area of the patio, the number of cement bags that we need to use to cover it, and the total cost ofcovering the patio.

The first step is to convert the dimensions from yard to meters. For that, we need to multiply the given dimensions by 0.91 meters.

`\begin{gathered} \text{ length}=8\cdot0.91=7.28\text{ meters}\\ \\ \text{ width}=6\cdot0.91=5.46\text{ meters} \end{gathered}`

Now we can determine the area, which is the product of the dimensions:

`Area=7.28\cdot5.46=39.75\text{ square meters}`

The area of the patio is 39.75 square meters.

We know that each cement bag covers 3.2 square meters. Therefore we need to divide the area by 3.2 and round up.

`n=(39.75)/(3.2)=12.42`

We will need approximately 13 bags.

Now we need to determine the cost of the bags, since each bag costs 8.22, we need to multiply heis by the number of bags:

`\text{ cost}=8.22\cdot13=106.86`

The total cost will be $106.86