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    Question

    An equilateral triangle and a rectangle have

    the same perimeter. The difference between the sides of the rectangle is 5cm. If the side of the triangle is 20 cm, then find the area of the rectangle?
    A 238.56cm² Correct Answer Incorrect Answer
    B 136.56cm² Correct Answer Incorrect Answer
    C 218.75cm² Correct Answer Incorrect Answer
    D 218.65cm² Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Perimeter of the triangle = 3`xx` [if gte msEquation 12]>× [if !msEquation]--> [endif]-->20 = 60 cm ∴ Perimeter of rectangle = 2( l + b) = 60 Or, l + b =30 And given that l – b = 5 ∴ 2l = 35 ⟹ l = 17.5cm ∴ Area of the rectangle = l x b = 17.5`xx` 12.5 = 218.75 cm²

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