Question

My right sided triangle has 4x on the base, 2x to the left and 3x+4 what is the perimeter of the triangle and it must be greater than or equal to 85 inches?

Answer 1

The perimeter of this triangle is `85` inches

Explanation:

So the first step is to put them all into one equation (we first are finding `x`): `4x+2x+3x+4>=85`

Then you combine like terms and end up with:
`9x+4>=85`

Then subtract the `4` on both sides, they cross out on the left, and you are left with: `9x>=81`

Next, divide the `9` to get `x=9`

Since you found the `x`, you can plug them back into the
individual equations, to find the length of all the sides.

So the base would be `36` in. because you multiply the `4` by `x` (which is `9`)

So to the left you get `18` in. because `2` by `9` is `18`

Then the last side is `31` in. because `3` multiplied by `9` is `27`, plus `4` is `31`

The final step is to add ALL the sides together:
So we have `36+31+18=85`

So the final answer is `85` inches