Question

Is it possible to design a rectangular park of perimeter 80m and area 400m^2? If so,then find it's length and breadth.​

Answer 1

Answer: Yes it is possible but the shape will be square because a square is a special type of a rectangle because a square has properties of being a rectangle.

Every Square is a rectangle, but not every rectangle is a square.

The length is 20m and the breadth is also 20m

Step-by-step explanation:

Perimeter = 80m

Area = 400m^2

Perimeter= 2(l+b)

Area = l x b = 400

l = 400/b

Perimeter =80m

2(l+b) = 80m (substitute value of l in this eq.)

2(400/b + b) = 80

400/b + b = 40

400+ b^2 = 40b

b^2 - 40b + 400 = 0 (find roots of quadratic eq)

b^2 -20b -20b + 400 = 0

b(b-20) -20(b-20) = 0

The value of b is 20m

So the breadth is 20m

Perimeter = 2(l+b)

80             = 2(l+20)

40             = l + 20

l = 20m

The length is 20m