Respuesta :
Answer:
[tex]y = \frac{22-x}{2}[/tex]
For width = 2 ft, the length of the flower bed = 10 ft.
For width = 3 ft, the length of the flower bed = 9.5 ft.
For width = 4 ft, the length of the flower bed = 9 ft.
Step-by-step explanation:
Here, the Perimeter of the flower garden is given as
22 = 2 y + x
: where, y : Length of the garden
and x : Width of the garden .
Now, solving for y in the above expression,we get
22 = 2 y + x ⇒ 22 - x = 2 y
or, [tex]y = \frac{22-x}{2}[/tex]
Now, when the width (x) = 2 feet
Length of the flower bed [tex]y = \frac{22-x}{2} = \frac{22-2}{2} = \frac{20}{2} = 10[/tex]
or, x = 10 ft
⇒For, the width = 2 ft, the length of the flower bed = 10 ft.
when the width (x) = 3 feet
Length of the flower bed [tex]y = \frac{22-x}{2} = \frac{22-3}{2} = \frac{19}{2} = 9.5[/tex]
or, x = 9.5 ft
⇒For, the width = 3 ft, the length of the flower bed = 9.5 ft.
when the width (x) = 4 feet
Length of the flower bed [tex]y = \frac{22-x}{2} = \frac{22-4}{2} = \frac{18}{2} = 9[/tex]
or, x = 9 ft
⇒For, the width = 4 ft, the length of the flower bed = 9 ft.
