The dimensions of a rectangular monitor screen are such that its length is 3 in. more than its width. if the length were doubled and if the width were decreased by 1 in., the area would be increased by 176 in squared. what are the length and width of the screen?

Length = 11.59 in

Width = 8.59 in

Explanation:

To calculate the length and width of the screen, we need to look at the information given to us. Since they do not give us actual values, we can assume that is the width is x, and since the length is 3 in. more than the width, the length is x+3.

It is also given that if the length is doubled  ( 2(x+3) ), and the width is decreased by 1 in.  ( (x-1) ), then the area would be 176 in².

Since we know area is equal to length multiplied by width, we can assume:

2(x+3) * (x-1) = 176

which can be simplified to

x² + 2x - 91 = 0

using the quadratic formula to solve for x, we find that

x = 8.59 in  and  x = -10.59 in

Knowing that we cannot have negative distance, we take that x = 8.59 in.

This would mean that the length of the screen would be (8.59+3), which is 11.59 in, and the width would be 8.59 in.

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