# A computer manufacturing company would like to come up with a new laptop computer such that its monitor is 80 square inches smaller than the present ones.suppose the length of the monitor of the larger computer is 5 inches longer than its width and the area of the smaller computer is 70 square inches.what are the dimensions of the monitor of the larger computer?

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Let width of larger monitor be W

Then length of larger monitor = W + 5

Area of larger monitor = W(W + 5), or W^2+5W

Since area of smaller monitor is 70 sq”, and since this area is 80 sq” smaller

than the larger monitor, then area of larger monitor = 150 (70 + 80) sq"

Now, we can say that: W^2+5W=150 ------ W^2+5W-150=0

(W - 10)(W + 15) = 0

Width of larger monitor, or W = 10 inches W = - 15 (ignore)

Length
Let width of larger monitor = W
Then length of larger monitor = W + 5
Area of larger monitor = W(W + 5), or W^2+5W
Since area of smaller monitor is 70 sq”, and since this area is 80 sq” smaller
than the larger monitor, then area of larger monitor = 150 (70 + 80) sq"
Now, we can say that: W^2+5W=150 ------ W^2+5W-150=0
(W - 10)(W + 15) = 0
Width of larger monitor, or W = 10 inches W = - 15 (ignore)
Length of larger monitor: 10 + 5 = 15 inches