Is it possible to design a rectangular park of perimeter 80 metres and area 400 m². If so, find its length and breadth. [Without spam]
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Is it possible to design a rectangular park of perimeter 80 metres and area 400 m². If so, find its length and breadth. [Without spam]
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Answer :
length(l) = 20m
breadth(b) = 20m
Explanation :
Given,
→ perimeter of rectangular park = 80 m
2(l + b) = 80
l + b = 40
l = 40 - b ------ equation 1
→ Area of park = 400 m²
lb = 400
Substitute equation 1 in this.
→ (40 - b)b = 400
40b - b² - 400 = 0
b² - 40 b + 400 = 0
Solving the equation by factorisation,
→ b² - 20b - 20b + 400 = 0
b(b - 20) - 20(b - 20) = 0
(b - 20)(b - 20) = 0
b = 20m
Substitute b = 20 in equation 1
→ l = 40 - b
l = 40 - 20
l = 20 m
Therefore,
Length of rectangular park is 20m.
Breadth of rectangular park is 20m.
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