area is 400mt ,perimeter is 80 mt find length and breath
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Answered by
1
Let the breadth be = x
Length = 40 -x
Area = 400 ml\ 2
Ix b = 400
(x)(40 -x) = 400
x/\2 -40x + 400 = O
By using Identity, (a-b)/\2 = a/\2 -2ab + b/\2
answer =(x-20)^2
Step-by-step explanation:
may this will help u
Answered by
42
Perimeter = 2 ( length + breadth ) = 80m.
= 40 - b
= 800m²
⇒ (40 − b) b = 800
⇒ 40b − b² − 800 = 0
⇒ b² − 40b − 800 = 0
⇒ b² − 40b + 20b − 800 = 0
⇒ b (b−40) + 20 (b − 40) = 0
⇒ (b−40) (b−20) = 0
When b = 20m ⇒ l = 40 − b = 40 − 20 = 20m
When b = 40m ⇒ l = 40 − b = 40 − 40 = 0m
∴ To design a park length of 20m and breadth of 40m is required.
∴ = 40m and b = 20m.
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