Question

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.

Answer 1

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

`xy=108\\ (x)/(y) = (4)/(3)`
From the first equation we get:

`x = (4)/(3) y`
Use the value of y in the first equation like this:

`((4)/(3) y)y=108`
Solving the above equation for y we get:

`y=9` then
`x=12`