Is it possible to design a rectangular park of perimeter 80m and area 400m square?if so,find its length and breadth.
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Answer:
The rectangular park is not possible as length is equal to breadth.
However,a square park is possible.
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ʜᴇʏ ᴛʜᴇʀᴇ!
ʟᴇᴛ ᴛʜᴇ ʙʀᴇᴀᴅᴛʜ ʙᴇ = x
ʟᴇɴɢᴛʜ = 40 - x
ᴀʀᴇᴀ = 400 ᴍ^2
ʟ × ʙ = 400
(x)(40 - x) = 400
x^2 - 40x + 400 = 0
ʙʏ ᴜsɪɴɢ ɪᴅᴇɴᴛɪᴛʏ,
(ᴀ-ʙ)^2 = ᴀ^2 - 2ᴀʙ + ʙ^2
(x-20)^2
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