Question

Find the length of X

Answer 1

`x=3, x=(17)/(4)`

Explanation:

The side opposite to the length of 20 is 7x - 11, whereas the side opposite to an unknown length is 4x - 2. To solve this unknown length, we are given 35 as the total length, so we can do 35-20 = 15, which is the opposite of the length of 4x-2.

Since we know the opposite sides of each side, we can set up these equations since we notice that the lengths are parallel based on what is diagrammed:

`7x-11=20`

`4x-2=15`

Now, let's solve for x in
`7x-11=20`:

`7x-11=20`

`7x=20+11\\7x=21\\x=3`

Let's solve for x in
`4x-2=15`:

`4x-2=15`

`4x=15+2\\4x=17\\x=(17)/(4)`