Question

A flower bed is in the shape of a rectangle. It measures

21 ft long and 12 ft wide. Charlie wants to use mulch to
cover the flower bed. The mulch is sold by the square
yard. Use the facts to find the area of the flower bed in
square yards.

Answer 1

2268 ft²

Explanation

1 yard is equivalent to 3 feet. Using this conversion factor, the equivalence of 21 yd is:

`21 \ \text{yd}=21 \ \text{yd}*\frac{3 \ \text{ft}}{1 \ \text{yd}}`

`\text{Simplifying the units:}`

`21 \ \text{yd}=\frac{21*3}{1 \ \text{}} \ \text{ft}`

`21 \ \text{yd}=63 \ \text{ft}`

Similarly, the equivalence of 12 yards is:

`12 \ \text{yd}=12 \ \text{yd}*\frac{3 \ \text{ft}}{1 \ \text{yd}}`

`12 \ \text{yd}=12*3 \ \text{ft}`

`12 \ \text{yd}=36 \ \text{ft}`

Therefore, the length of the bed is 63 ft and the width is 36 ft.

Finally, the area of the bed (a rectangle) is calculated as follows:

`\text{A}=\text{length}*\text{width}`

`\text{A}=63*36`

`\text{A}=2268 \ \text{ft}^2`