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## Homework Statement

The force (in Newtons) that air exerts on a surface is given by the formula

F = 10^5A

Where A is the surface area (in square metres). Suppose that the air supplies 10^6 Newtons of force on a rectangular surface that is 2 metres longer than it is wide. Find the dimensions (to 2 decimal place) of the rectangular surface.

## Homework Equations

## The Attempt at a Solution

This is my attempt

10^6 = 10^5A

A= 10

10 = LW

10 = (2+w)w

10= 2w +w^2

now i am stuck here..

If anyone knows what to do it would be greatly appreciated if you could help me out, thank you.