Question

A flower bed has the shape of a rectangle 27 feet long and 9 feet wide what is the area in square yards be sure to include the correct units in your answer

Answer 1

Step 1

Given;

$A\text{ rectangular flower bed 27 f}eet\text{ long by 9 f}eet\text{ wide.}$

Required; To find the area of the flower bed in square yards.

Step 2

Convert the length and the width from feet to yard

$\begin{gathered} \frac{1\text{ foot}}{27\text{ f}eet}\text{ =}\frac{\text{ }\frac{1}{3}yard}{x\text{ yard}} \\ x=27\times\frac{1}{3} \\ x=9\text{ yards}=27\text{ f}eet \\ \frac{1\text{ foot}}{9\text{ f}eet}\text{ =}\frac{\text{ }\frac{1}{3}yard}{p\text{ yard}} \\ p=9\times\frac{1}{3} \\ p=3\text{ yards}=9\text{feet} \end{gathered}$

Therefore,

$\begin{gathered} 27\text{ fe}ets=9\text{ yards}=\text{length} \\ 9\text{f}eets=3\text{ yards}=\text{width} \end{gathered}$

Step 3

State the area of a rectangle and find the area of the flower bed

$\begin{gathered} \text{The area of a rectangle(A)=Length(l)}\times Width(w) \\ A=l\times w \\ A=9\times3 \\ A=27yd^2 \end{gathered}$

Therefore, the area of the flower bed = 27yd² or 27 square y