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Mathematics

Represent the following situation in the form of quadratic equation :

The area of a rectangular plot is 528 m2. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.

Quadratic Equations

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Answer

Let breadth of rectangular plot be x meters.

According to question,

Length = (2x + 1) meters

By formula,

Area = Length × Breadth

Substituting values we get :

⇒ 528 = x(2x + 1)

⇒ 2x2 + x = 528

⇒ 2x2 + x - 528 = 0

Hence, required quadratic equation is 2x2 + x - 528 = 0.

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