The dimensions of a television screen are such that the width is 4 inches smaller than the length. If the length of the screen is increased by one inch, the area of the screen increases by 8 square inches. What are the dimensions of the screen?

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Answer 1 · 2018-03-30T00:45:39

length x width = #12 x 8#

Let the width of the screen = #x#
Length = #x+4#
Area = #x(x+4)#

Now to the problem:
#(x+4+1)x = x(x+4)+8#
#x(x+5)=x^2+4x+8#
#x^2+5x=x^2+4x+8#
#x=8# subtract #x^2, 4x# from both sides