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Question
The area of a rectangular field is 25x2 + 20xy + 3y2 square unit. If its length is 5x + 3y unit, find its breadth, Hence find its perimeter.
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Solution
Area of a rectangle
= 25x2 + 20xy + 3y2
Length = (5x + 3y) units
∴ Breadth = `"Area"/"Length"`
`= ("25x"^2 - 20"xy" + 3"y"^2)/"5x + 3y"`
5x + y
`"5x" + "3y")overline(25"x"^2 + 20"xy" + 3"y"^2)(`
25x2 + 15xy
- -
5xy + 3y2
5xy + 3y2
- -
xxx
Hence Breadth = 5x + y
Hence perimeter of rectangular field
= 2 (l + b)
= 2 (5x + 3y + 5x + y)
= 2 (10x + 4y)
= 20x + 8y
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