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The length of a rectangular garden is 9 feet longer than its width. If the garden's perimeter is 182 feet,
what is the area of the garden in square feet?
(Hint: Area of a rectangle is length times width, A-LW)

The length of a rectangular garden is 9 feet longer than its width If the gardens perimeter is 182 feet what is the area of the garden in square feet Hint Area class=

Respuesta :

reinhard10158

Step-by-step explanation:

the area is

length × width

the perimeter is

2×length + 2×width = 182 ft

length + width = 91 ft

and we know that

length = width + 9

now we use that in the previous equation and get

(width + 9) + width = 91

2×width + 9 = 91

2×width = 82

width = 41 ft

and because of

length = width + 9

length = 41 + 9 = 50 ft

and so the area of the garden is

50 × 41 = 2050 ft²

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