The equation 22 = 2y + x represents the perimeter of a flower garden with
length y (in feet) and width x (in feet). Solve for y. Then find the length of the
flower bed when the width is 2 feet, 3 feet, and 4 feet.

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ranikashyab066 ranikashyab066 · Answer 1 · 2019-12-07T11:11:58+01:00

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.