Question

Represent the following situations in the form of quadratic equations:





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.
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Answer 1

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(i) Let us consider,

The breadth of the rectangular plot is x m

Thus, the length of the plot = (2x + 1) m.

As we know,

Area of rectangle = length × breadth = 528 m^2

Putting the value of length and breadth of the plot in the formula, we get,

(2x + 1) × x = 528

⇒ 2x^2 + x =528

⇒ 2x^2 + x – 528 = 0

Hence,

2x^2 + x – 528 = 0, is the required equation which represents the given situation.

Answer 2

Step-by-step explanation:

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Let,

Breadth of rectangle = X m

And Length of rectangle = ( 2X + 1 )m

Area of rectangle = Breadth × Length =528m²

X × ( 2X +1)= 528

> 2X²+X-528 = 0

Hope it will help you

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