A pixel is the smallest unit of a digital image.
The number of pixels/cm in each of the horizontal and vertical directions of a digital image affects the quality of the image. The more pixels/cm, the sharper the image will be.
A small monitor has dimensions \(15\) cm by \(10\) cm and has \(80\) pixels/cm in each dimension. The total number of pixels is \((15\times 80)\times (10\times 80)= 960\,000\).
The manufacturer wants to build a new monitor with \(2\,145\,624\) pixels. To accomplish this, both the length and width of the screen will be increased by \(n\%\) and the number of pixels/cm in each dimension will be increased by \(2n\%\). Determine the dimensions of the new monitor and the new number of pixels/cm.