# 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 = $x \left(x + 4\right)$

Now to the problem:
$\left(x + 4 + 1\right) x = x \left(x + 4\right) + 8$
$x \left(x + 5\right) = {x}^{2} + 4 x + 8$
${x}^{2} + 5 x = {x}^{2} + 4 x + 8$
$x = 8$ subtract ${x}^{2} , 4 x$ from both sides