Question

A pair of adjacent sides of a rectangle is in the ratio of 5 : 12. If the length of the diagonal is 26 cm. Find
the lengths of sides and perimeter of the rectangle.

Answer 1

Let the sides be 5x and 12x. Now since diagonal is of 26 cm therefore by Pythagoras theorem

26² = (5x)² + (12x)²

On solving this we will get

x = 2

so, 5x = 10 cm

& 12x = 24 cm

and So perimeter will be sum of all sides

= 68cm [ANSWER]