Question

The area of a rectangle is 20 square inches. If the length is 4 inches less than 6 times the width, then find the dimensions of the rectangle.

Answer 1

Explanation:

Let the width=x

Length =6x-4

As we know that in a rectangle

`{\boxed{\sf Area=LB}}`

• Substitute the values

`\hookrightarrow\sf x (6x-4)=20`

`\hookrightarrow\sf 6x^2-4x=20`

`\hookrightarrow\sf 6x^2-4x-20=0`

• Here a=6, b=-4, c=-20.
• use quadratic formula

`\hookrightarrow\sf x=\frac {1}{3}+\frac {1}{3}\sqrt {31} \quad or \quad \frac {1}{3}+\frac {-1}{3}\sqrt {31}`