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

Length = 4cm breadth = 17cm

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