Answer:
The width of the yard will be = 200 ft
The length of the yard will be = 900 ft
Explanation:
Given:
Ratio of width to length of a rectangular yard = 2 : 9
The distance around the yard = 2200 ft
To find the dimensions of the yard.
Solution:
Let the width of the rectangular yard be =

So, the length of the yard will be =

The perimeter of a rectangle is given as:

where
represents length and
represents width of the rectangle.
Plugging in the given values of length and width of the yard.

Simplifying.


The perimeter given = 2200 ft.
Thus, the equation to find
can be given as:

Dividing both sides by 22.

∴

The width of the yard will be =

The length of the yard will be =
