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If the length of one side and the diagonal of a rectangle are 8 cm and 17 cm respectively, then find its perimeter (in cm).

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If the length of one side and the diagonal of a rectangle are 8 cm and 17 cm respectively, then find its perimeter (in cm).
1). 92
2). 48
3). 46
4). 96


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Given length of the Diagonal = 17 cm, Length of one side (L) = 8 cm

In a rectangle, (Diagonal)2 = (Length)2 + (Breadth)2

⇒ (Breadth)2 = (Diagonal)2 - (Length)2 = (17)2 - (8)2 = 289 - 64 = 225

⇒ (Breadth) = √225 = 15 cm

Perimeter of the Rectangle = 2 (L + B) = 2 (8 + 15) = 2 (23) = 46 cm

∴ Required Perimeter = 46 cm

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