Question

A landscaper wants to cover 3 rectangular plots of land with sod. If each plot of land is 3.75 feet by 5 1/5, what total area will the landscaper cover in sod, in square feet? 1) 3(4) + 3(5) 2) 3 + (4 x 5) 3) 3(4) x 3(5) 4) 3(4 x 5)

Answer 1

The expression for the total area the landscaper will cover in sod, in square feet, is
`\(3 * 3.75 * (26)/(5)\)`, which simplifies to 45 square feet. Therefore, the landscaper will cover a total area of 45 square feet with sod.

Step-by-step explanation:

To find the total area the landscaper will cover with sod for the three rectangular plots of land, we start by calculating the area of one plot. Each plot has dimensions of 3.75 feet by
`\(5 (1)/(5)\)` feet. The area formula (length × width) is applied, resulting in
`\(3.75 * 5 (1)/(5)\).` To facilitate the calculation, the mixed number is converted to an improper fraction, yielding
`\( (26)/(5) \)` feet as the width.

`\[ \text{Area of one plot} = 3.75 * (26)/(5) \]`

Next, to determine the total area for three plots, we multiply the area of one plot by the number of plots, which is
`\(3 * 3.75 * (26)/(5)\).` This expression accounts for the dimensions of each plot and the total number of plots. By performing the multiplication, the final result is 45 square feet.

In conclusion, the landscaper will cover 45 square feet with sod, calculated by correctly finding the area of one plot and then scaling it by the number of plots. This approach ensures an accurate representation of the total sod coverage for the specified rectangular plots of land.