The dimensions of a Gateway EV700 computer monitor screen ar

The dimensions of a Gateway EV700 computer monitor screen are such that its length is 3 in. more than its width. If the length is increased by 1 in. while the width remains the same, the area is increased by 10 in2. What are the dimensions of the screen?

Solution

Let the length of the Gateway EV700 computer monitor screen be x inches. Then the width of the screen is x - 3 inches and the area is x(x - 3) inch² If the length of the screen is increased by 1 inch, the new dimensions of the screen are as under:

Length : x + 1 inches

Width: x + 1 - 3 = x -2 inches.

Then the new area is ( x + 1)( x -2). Since the new area is higher than the earlier area by 10 inch² , we have ( x + 1)( x -2). = x(x - 3) + 10 or, x² -x -2 = x² -3x + 10 or, x² - x² - x + 3x -2 - 10 = 0 or, 2x - 12 = 0 so that x = 12/2 = 6.Thus the length and the width of the screen are 6 inches and 3 inches respectly ( we can verify the result by computing the area: ealier area = 6*3 = 18 inch² ; new area = 7*4 = 28 inch² = earlier area = 10 inch²⁾