Question

5. is it possible to design a rectangular park of perimeter 80 m and area 400 m²? If so, find
its length and breadth.​

Answer 1

Answer:

Let length of the rectangular park be x m and breadth be y m. So, the given quadratic equation has equal roots and hence it is possible to design a rectangular park. Hence, length of the rectangular park (x) = 20 m and breadth = (40 – x) m = 40 – 20 = 20 m.

Step-by-step explanation:

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Answer 2

$\purple{Answer}$

Let the length and breadth of a rectangular park are x and y m . respectively.

Accordingly :-

2.(x+y)= 80. , or x. + y = 40………….(1) , x.y. = 400………….(2)

Putting y = 40 - x from eqn. (1) in eqn. (2).

x.(40-x) = 400.

or, x^2 - 40x +400 = 0

or, (x-20)^2. = 0.

or, x-20 = 0. =>. x= 20 m. , but y = 40 - x = 40–20 = 20 m.

Thus , length = breadth = 20 meters.