Question

Is it possible to design a rectangular Park of perimeter 80m and area 400 m^2 if so find its length and breadth.Answer according to Quadratic equation...I will mark the answer brainliest.​

Answer 1

Answer:

Yes, it is possible with length and breadth equal to 20 m.

Step-by-step explanation:

Let length be a metres and breadth be b metres

Therefore, perimeter

2×(a+b) = 80

(a+b) =40

b = 40 - a --------- 1

Now area

a×b = 400

a × (40 - a) = 400 {from 1}

40a - a^2 = 400

a^2 -40a + 400 = 0

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

a(a-20) - 20(a-20) = 0

(a-20)(a-20) = 0

Therefore a = 20 m

and b = 40 - a = 40 -20 = 20 m

Therefore length and breadth are same and equal to 20 m.

Since, a square is also a type of rectangle, these values must be correct.