Q2 of 58 Page 106

Represent the following situations in the form of quadratic equation:

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

Let length = L and breath = B

Area of rectangle (A) = L × B


According to the given conditions


L = 2B + 1


∴ A = (2B + 1) B


⇒ 528 = 2b2 + b


⇒ 2b2 + b - 528 = 0


Which is a quadratic equation of the form ax2 + bx + c = 0


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