The dimensions of a rectangular monitor screen are such that it's length is 5 in. More than it's width. If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in^2. What are the length and width of the screen?

Given:

Length of a rectangular monitor screen is 5 in more than it's width.

If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in².

To find:

The length and width of the screen.

Solution:

Let width of the screen be x inches.

Length of a rectangular monitor screen is 5 in more than it's width. So,

Length of screen = (x+5) inches

Area of screen is

If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in².

New length = 2(x+5) inches

New width = (x-1) inches

So, new area is

Area increased by  170 in².

Subtract 170 from both sides.

Splitting the middle term, we get

Width cannot be negative. So, x=12.

Width = 12 inches

Length = 12+5 = 17 inches

Therefore, the length of screen is 17 inches and width is 12 inches.

answer: 298143

step-by-step explanation: