Question

The perimeter of a parallelogram is 48, with the length of a shorter side being 10. What is the length of one of the longer sides?

Answer 1

14

Explanation:

I am going to abbreviate "shorter side" to `s` and "longer side" to `l`.

The perimeter of the parallelogram is the same as all the sides added together, or the same as this equation:
`l + s +l + s = 48`

We already know that `s = 10` so let's put that into our equation.
`l + 10 +l + 10 = 48`

Now let's simplify:
`l + 10 +l + 10 = 48 rarr`
`2l + 20 = 48 rarr` (I added like terms together)
`2l = 28 rarr` (I subtracted 20 from both sides)
`l = 14` (I divided by 2)