JadeK3562 JadeK3562
  • 12-06-2021
  • Mathematics
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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?

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sqdancefan
sqdancefan sqdancefan
  • 12-06-2021

9514 1404 393

Answer:

  30 ft wide by 35 ft long

Step-by-step 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.

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