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Geometry: Problems based on Area
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Problems Based on Area
Here you'll learn how to solve problems using quadratic equations.
Equations in single variable based on area and perimeter of quadrilateral are given with detailed solution and explanation.
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Example: The perimeter of a rectangle field is 84m and its area is 360m2. Find the breadth of the rectangular field. Solution: Let the breadth of the field be x metres. So,
Perimeter = 84m
2(Length + Breadth)= 84
Length + x = 42
Area = 360m2
Length x Breadth = 360
(42 - x)x = 360
42x - x2= 360
x2- 42x + 360 = 0
x2- 30x - 12x + 360 = 0
x(x - 30) - 12(x - 30) = 0
(x - 12)(x - 30) = 0
x = 12 or x = 30
Therefore, breadth of the field is 12m or 30m.
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