To find: The length and width of the garden.
The length of garden is 60 ft and the width of garden is 40 ft.
Perimeter of the garden is 200 ft.
Area of the garden is .
Let the width of garden be x and length of garden be y.
Tabulate the given information into the language of algebra.
|In words||In Algebra|
|Width of garden||x|
|Length of garden||y|
|Perimeter of garden|
|Area of garden|
Model the equation for the above information.
Simplify equation (1) for x,
Substitute for x into equation (2),
Simplify the above equation,
The length of the garden is 60 ft.
Substitute 60 for y in equation (3),
The width of garden is 40 ft.
Thus, the length of garden is 60 ft and the width of garden is 40 ft.
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