Length of a rectangle is twice its breadth. If the perimeter of the rectangle is 78 m, then what will be the area of the rectangle?

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Agniveer Vayu Other than Science (Group Y) 22nd March 2025 Memory-Based Paper
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  1. 300 m2
  2. 338 m2
  3. 169 m2
  4. 507 m2

Answer (Detailed Solution Below)

Option 2 : 338 m2
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Detailed Solution

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Given:

Length of rectangle = 2 × Breadth

Perimeter = 78 m

Formula used:

Perimeter = 2 × (L + B)

Area = L × B

Where L is length and B is the breadth

Calculation:

Let the breadth of the rectangle be x m and the length of the rectangle be 2x m

Perimeter = 2 × (2x + x) = 6x

⇒ 78 = 6x

⇒ x = 13 m

Length = 2 × 13 = 26 m and Breadth = 13 m

Area = L × B

⇒ Area = 13 × 26

∴ Area of rectangle is 338 m2 

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