Question

A flower bed is in the shape of a rectangle. It measures7 yd long and 4 yd wide. Chris wants to use mulch tocover the flower bed. The mulch is sold by the squarefoot. Use the facts to find the area of the flower bed insquare feet.2ftX 5?Conversion facts for length1 foot (ft)1 yard (yd)1 yard (yd)===12 inches (in)3 feet (ft)36 inches (in) i need help with this math problem.

Answer 1

252 ft²

Explanation

1 yard is equivalent to 3 feet. Using this conversion factor, the equivalence of 7 yd is:

`\begin{gathered} 7\text{ yd =}7\text{ yd}\cdot\frac{3\text{ ft}}{1\text{ yd}} \\ \text{ Simplifying the units:} \\ 7\text{ yd =}(7\cdot3)/(1)\text{ ft} \\ 7\text{ yd }=21\text{ ft} \end{gathered}`

Similarly, the equivalence of 4 yards is:

`\begin{gathered} 4\text{ yd }=4\text{ yd}{}\cdot\frac{3\text{ ft}}{1\text{ yd}} \\ 4\text{ yd }=4\cdot3\text{ ft} \\ 4\text{ yd}=12\text{ ft} \end{gathered}`

Therefore, the length of the bed is 21 ft and the width is 12 ft.

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

`\begin{gathered} A=legnth\cdot width \\ A=21\cdot12 \\ A=252\text{ ft}^2 \end{gathered}`