The length and breadth of a rectangle are in the: ratio of 4 : 3 respectively and its area is 1728 m . Find the perimeter of rectangle? (in m)

Explanation

Let the length and breadth of the rectangle be $$4x$$ and $$3x$$ => Area of rectangle = $$4x \times 3x = 1728$$ => $$x^2 = \frac{1728}{12} = 144$$ => $$x = \sqrt{144} = 12$$ $$\therefore$$ Perimeter of rectangle = $$2 (4x + 3x)$$ = $$14x = 14 \times 12$$ = $$168$$ metre