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Chapter 4 · Question 6

A rectangular hall has area $300\text{ m}^2$ and length one metre more than twice its breadth. Form the quadratic equation for its breadth.

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Q6

A rectangular hall has area $300\text{ m}^2$ and length one metre more than twice its breadth. Form the quadratic equation for its breadth.

Answer Revealed

Direct Answer:

Let breadth be

x

m. Length is

(2x+1)

m. Area

=x(2x+1)=300

, so

2x^2+x-300=0

.

Simple Explanation

Translate breadth and length into algebra, then use area

=l\times b

.

Exam-Ready Structure

Let breadth

=x

m. Then length

=(2x+1)

m. Since area is

300\text{ m}^2

,

x(2x+1)=300

. Expanding gives

2x^2+x=300

, hence

2x^2+x-300=0

.

Key Points

Let breadth be $x$ m.
Use the NCERT formula or theorem carefully.
Write units and final conclusion where applicable.

Related Questions

Define a quadratic equation and identify $a$ , $b$ , and $c$ in $2x^2+x-300=0$ .

Solve $x^2-5x+6=0$ by factorisation.

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