Question

Find the length and width of a similar rectangular screen if the length is 5 meters more than 6 times its width, and the viewable area is 5,550 square meters.

Answer 1

Answer:185 m , 60 m

Explanation:

Given

Length is 5 m more than 6 times its width

Suppose width is
`x`

So, length is given by
`6x+5`

The area is given by
`l* b`

Put values of length and width

`\Rightarrow (6x+5)x=5550\\\Rightarrow 6x^2+5x-5550=0\\`

On solving the quadratic equation, we get
`x=30`

Length is
`6* 30+5=185\ m`

Width is
`x=30\ m`