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    Question

    If the length of one side of a rhombus is 16cm then find

    its surface area. (use √ 3 = 1.732) Type-SSC
    A 447.3 cm Correct Answer Incorrect Answer
    B 443.3 cm² Correct Answer Incorrect Answer
    C 548.6 cm² Correct Answer Incorrect Answer
    D 445.9 cm² Correct Answer Incorrect Answer

    Solution

    Area of the triangle which is an equilateral triangle – Base = 16cm, height = (√3/2) ×16 = 8√3 Area of triangle = (1/2) ×b × h = ½ ×16×8√3 = 64√3 Surface Area of rhombus = 4 × 64√3  =4×64×1.732=  =443.392 cm²   Second method –   area of rhombus = √ 3 ×a × a=   √ 3×256=443.392 cm²

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