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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). 922). 483). 464). 96 |
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Answer» 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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