1. The perimeter of a square is thrice the perimeter of a rectangle. If the perimeter of the square is 84 cms and the length of the rectangle is 8 cms, what is the difference between the breadth of the rectangle and the side of the square ?






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  • By: anil on 05 May 2019 01.19 am
    Let side of square be $$a$$. Length of rectangle be $$l$$ and breadth be $$b$$.
    Perimeter of square = $$4 imes a=84$$.
    $$a=21 cm$$.
    Given $$4 imes a=3 imes2 imes left(l + b ight)$$.
    $$2 imes a = 3 imes left(l + b ight)$$.
    Also given $$l=8 cm$$
    $$42=24+3 imes b$$.
    $$3 imes b = 42-24 = 18$$
    $$b=6$$.
    $$a-b=21-6=15 cm$$
    Hence Option A is the correct answer
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