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In a rectangle, the length is twice the breadth and the perimeter of the rectangle is 48 cm. The area of the rectangle is:

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Question

In a rectangle, the length is twice the breadth and the perimeter of the rectangle is 48 cm. The area of the rectangle is:

Options

  • 512 cm2

  • 128 cm2

  • 288 cm2

  • 144 cm2

MCQ
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Solution

128 cm2

Explanation:

Let the breadth of rectangle = x

∴ Length `(l)` = 2x  ......(Given)

Perimeter ofrectangle = `2(l + b)`

⇒ `2(2x + x)` = 48

⇒ x = 8 cm

Now, Area of rectangle = `l xx b`

= 2 × 8 × 8

= 128 cm2

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Data Interpretation (Entrance Exam)
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