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Question
The area of a rectangle is 6x2 – 4xy – 10y2 square unit and its length is 2x + 2y unit. Find its breadth.
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Solution
Area of a rectangle
= 6x2 - 4xy - 10y2 sq.units
Length = 2x + 2y units
∴ Breadth = `"Area"/"Length"`
`= ("6x"^2 - 4"xy" - 10"y"^2)/"2x + 2y"`
3x - 5y
`"2x" + "2y")overline(6"x"^2 - 4"xy" - 10"y"^2)(`
6x2 + 6xy
- -
- 10xy - 10y2
- 10xy - 10y2
+ +
xxxx
= 3x - 5y units
Hence breadthy = 3x - 5y units
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