Question

A rectangular field has an area of 3 sq. units. The length is one more than twice the breadth ‘x’. Frame an equation to represent this.

Options

• x² – 2x + 6 = 0

• x² – 2x + 3 = 0

• 2x² + x − 3 = 0

• 2x² + x − 6 = 0

Answer 1

2x² + x − 3 = 0

Explanation:

Area of rectangle = length × breadth

Given, length = (2 × breadth + 1)

Let the breadth of the field be x.

Length of the field = 2x + 1

Area of the rectangular field = x (2x + 1) = 3

2x² + x = 3

2x² + x − 3 = 0