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.
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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.
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