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Discussion :: Area

  1. The ratio between the breadth and perimeter of a rectangle is 2:10. If the area of the rectangle is 428 sq. cm, what is the length of the rectangle?

    2. A.
    25.4 cm
    B.
    30.4 cm
    C.
    40.4 cm
    D.
    45.4 cm

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    Answer : Option A

    Explanation :

    Perimeter of a rectangle = 2 (Length + Breadth)

    Let length is L and breadth is B.

    So, as per the question = 2(L+B)/B = 10/2
                                         2(L+B)/B = 5/1
                                         2L + 2B = 5B
                                         2B - 5B = - 2L
                                         - 3B = - 2L
                                         B = 2/3 L

    Given Area = 430 sq. cm.

    Area = Length * Breadth
             430 = L * 2/3 L
             430 = 2/3 L2

    Or L2 = 1290 / 2
       L2 = 645
       L = 25.4 cm

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