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Problem: A vegetable garden in rectangular shape has a total area of 84 square feet. The gardener wants to make the length 8 feet longer than the width. Find the dimensions of this garden, its width and its length.​

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Dekzipalgo

Answer:

width = 6ft and length = 14ft

Step-by-step explanation:

Area = 84ft²

length = 8ft + w

width = ?

Area of Rectangle = l × w

84 = (8 + w) w

84 = 8w + w²

w² + 8w - 84 = 0

Factor: (w + 14) (w - 6)

w = -14 | w = 6

Substitute;

length = 8 + w = 8 + 6 = 14

width = 6

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