Question

is it possible to design a rectangular park of perimeter 80m and area 400m square if so find its length and breadth​

Answer 1

Answer:

LENGTH = 20m ; BREADTH = 20m

Step-By-Step Explanation:-

Let the Dimensions of the Rectangle be L (Length), and B be the Breadth.

=> A.T.Q 2(L+B) = 80m => L + B = 40m

=> B = (40 - L).

=> A.T.Q L×B = 400m² => L × (40-L) = 400

=> 40L - L² = 400 => L²- 40L + 400 = 0

D = b²- 4ac => (-40)² - 4 × 1 × 400

=> 1600 - 1600 = 0 => Equal Roots, Therefore this Situation is Possible.

Now,

L² - 40L + 400 =0 =>

L = 40 ± √0 / 2 => 20m

=> LENGTH = 20m => BREADTH = 40 - L => 40 - 20 = 20m