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The length of a rectangular garden is 4 feet longer than the width. If the perimeter is 192 feet, what is the area of the garden?


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LearningTree

Given : The length of a rectangular garden is 4 feet longer than the width. If the perimeter is 192 feet, what is the area of the garden ?

Solution :

Let us assume the breadth be x

The length is 4 ft longer than the Breadth

So, the length be x + 4

Perimeter = 192

❍ Perimeter = 2(Length + Breadth)

  • 192 = 2(x + 4 + x)

  • 192 = 2(2x + 4)

  • 192 = 4x + 8

  • 192 - 8 = 4x

  • 4x = 184

  • x = 46

Length : x + 4 = 46 + 4 = 50

Breadth : x = 46

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