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?

1 Answer
Mar 30, 2018

length x width = 12 x 8

Explanation:

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