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    If the length and the perimeter of a rectangle are in the ratio of 3 : 20, then its length and breadth will be in the ratio of :
    Question

    If the length and the perimeter of a rectangle are in the ratio of 3 : 20, then its length and breadth will be in the ratio of :

    A.

    3 : 7

    B.

    3 : 6

    C.

    3 : 5

    D.

    3 : 4

    Correct option is A

    Given:
    Ratio of length to perimeter = 3 : 20
    Formula Used:
    Perimeter of rectangle = 2(length + breadth)
    Solution:
    Let length of rectangle = 3x and perimeter = 20x
    Let the breadth be b unit
    Perimeter of rectangle = 2(length + breadth)
    =>20x =  2(3x + b) 
    3x + b = 10x => b = 7x
    So, Length : Breadth = 3x : 7x = 3 : 7

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