The area of a rectangle is 108in2. the ratio of the length to the width is 4: 3. find the length and the width. the length of the rectangle is__in. the width of the rectangle is__in.

Let x be the length and y be the width.
Then we deduce the equations :

From the first equation we get:

Use the value of y in the first equation like this:

Solving the above equation for y we get:
then