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A rectangular garden is 5 ft longer than it is wide. Its area is 1050 ft 2 . What are its dimensions?

User Lightrek
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Answer:

30 ft wide by 35 ft long

Explanation:

Let w represent the width of the garden. Then the length is (w+5) and the area is ...

w(w+5) = 1050

Completing the square, we have ...

w^2 +5w +6.25 = 1056.25

(w +2.5)^2 = 32.5^2

Taking the positive square root gives ...

w +2.5 = 32.5

w = 30

w +5 = 35

The dimensions of the garden are 30 feet by 35 feet.

User PandaConda
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