Question

The equation 22 = 2y + x represents the perimeter of a flower garden with

Answer 1

Answer:

$y = \frac{22-x}{2}$

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, $y = \frac{22-x}{2}$

Now, when the width (x) = 2 feet

Length of the flower  bed $y = \frac{22-x}{2} = \frac{22-2}{2} = \frac{20}{2} = 10$

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 $y = \frac{22-x}{2} = \frac{22-3}{2} = \frac{19}{2} = 9.5$

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 $y = \frac{22-x}{2} = \frac{22-4}{2} = \frac{18}{2} = 9$

or, x = 9 ft

⇒For, the width = 4 ft, the length of the flower bed = 9 ft.