Question

Is it possible to design a rectangular park of perimeter 80 m and area 800m².if so, find length and breadth.​

Answer 1

Answer:

The breadth of the rectangular park=( x)m

perimeter = 80m

therefore,

perimeter of a rectangle = 2( l+b)

2(l+b) = 80

=2(x+400/x)=80

= X2+400/x = 80/2

= X2 + 400/x = 40

= X2 + 400 = 40x

= x2 - 40x + 400 = 0

here,

a=1 , b = -40 , c = 400

b2 - 4ac

= (-40)2 - 4.1.(400)

= 1600-1600

= 0

therefore it is possible