Answer:
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.
