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

Step-by-step 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 $l\times b$

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 $6\times 30+5=185\ m$

Width is $x=30\ m$