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Represent the following situations in the form of quadratic equations The area of a rectangular plot is 528 m^2. 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 - CBSE Class 10 - Mathematics

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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

Solution

Let the breadth of the rectangular plot = x m

Hence, the length of the plot is (2x + 1) m.

Formula of area of rectangle = length × breadth = 528 m2

Putting the value of length and width, we get

(2x + 1) × x = 528

⇒ 2x2 + x =528

⇒ 2x2 + x - 528 = 0

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 4: Quadratic Equations
Ex. 4.10 | Q: 2.1 | Page no. 73
Solution Represent the following situations in the form of quadratic equations The area of a rectangular plot is 528 m^2. 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 Concept: Quadratic Equations.
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