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The length of a rectangle is 1 cm more than its width. Its perimeter is 14 cm. The area of the rectangle is: -

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Question

The length of a rectangle is 1 cm more than its width. Its perimeter is 14 cm. The area of the rectangle is:

Options

  • 28 cm2

  • 24 cm2

  • 16 cm2

  • 12 cm2

MCQ

Solution

12 cm

Explanation:

Let the breadth be x cm.

∴ Length = (x + 1) cm

We know, Perimeter = 2(l + b)

∴ 14 = 2(x + x + 1)

⇒ 14 = 2(2x + 1)

⇒ 14 = 4x + 2

⇒ 4x = 12

⇒ x = 3

∴ Breadth = 3 cm

Length = (3 + 1) = 4 cm

We know, Area = l x b

∴  Area = (4 × 3) cm2 = 12 cm2 

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Data Interpretation (Entrance Exam)
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