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The perimeter of a rectangle of length 8 cm and breadth 7 cm is equal to half the perimeter of a square, then find the side of the square 
1. 15 cm 
2. 20 cm 
3. 10 cm         
4. 12 cm 
5. None of these 

1 Answer

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Best answer
Correct Answer - Option 1 : 15 cm 

Given:

Length of rectangle = 8 cm

Breadth of rectangle =7 cm

Formula:

Perimeter of square  = 4 × a

Perimeter of rectangle = 2 × (L + B)

Calculations:

Perimeter of a square = 2 × perimeter of a rectangle

Perimeter of a square = 4 × side

Perimeter of a rectangle = 2(length + breadth)

Given Rectangle of length = 8 cm and breadth = 7 cm

Perimeter of a rectangle = 2(8 + 7) = 2 × 15 = 30 cm

So, Perimeter of a square = 4 × side = 2 × perimeter of a rectangle

⇒ 4 × side = 2 × 30

⇒ Side = 15 cm

∴ Side of the square is 15 cm

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