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A strait wire of length 28 cm is converted into a square. Find the diagonal of square?1. 6√2 cm2. 7√2 cm3. 5√2 cm4. 4√2 cm |
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Answer» Correct Answer - Option 2 : 7√2 cm Given: Length of wire is 28 cm A strait wire is converted into a square Formula used: Perimeter of square = 4 × side Diagonal of square = √2 × side Calculation: When the wire is transformed into the square then the length of wire is equal to the perimeter of square ∵ Length of wire = Perimeter of square ∴ 4 × side = 28 cm ⇒ Side = 7 cm Now, Diagonal of square = √2 × 7 = 7√2 cm ∴ The diagonal of square is 7√2 cm |
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