Question

    The total of the perimeter of a rectangle and the

    circumference of a circle is 156 cm. The rectangle's length equals the side of a square, and the square's perimeter is 12 cm greater than the rectangle's perimeter. If the circle's area is 616 cm², determine the area of the rectangle.
    A 265 cm² Correct Answer Incorrect Answer
    B 275 cm² Correct Answer Incorrect Answer
    C 240 cm² Correct Answer Incorrect Answer
    D 280 cm² Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    πr²= 616 r= 14 cm 2(l+b)+2πr= 156 L+b = 34 L=a 4a= 68+12 a = 20 cm a = l =20 cm b = 14 cm Area of rectangle= l×b = 20×14=280 cm² Answer: D

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