The perimeter of a rectangle is 42cm and its area is 68cm2. find its length and breadth.

Explanation:

Given P = 42 cm and Area = 68cm^2

So we apply the above values to its formula to find length and breadth

P = 2L + 2w = 42cm  

L + w = 21cm  (dividing the above statement by 2)

(21-w)w = 68cm^2    

w^2 - 21w + 68 = 0  (moving variables and framing equations)

(w - 17)(w-4) = 0 , w = 4cm,17cm    (calculating the values by using the equation)

Rectangle is 4cm by 17cm