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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?


Sagot :

Asmall = 70

Alarge = Asmall +80 
          = 70 + 80
          = 150 in²

Let x be the width
     x+5 =  length

A = (length)(width)
150 = (x+5)(x)
150 = x² + 5x
0 = x² +5x - 150
0 = (x+15) (x-10)
x=-15 ; x=10        [Use x=10 because we can not have a negative dimension]

Width = 10 in
Length = 15 in      [width + 5]
The width of the larger computer is 10 in and the length is 15 in.

See attached for solution :)
View image AnneC