Question

Help quick 20points please please

Answer 1

AB = 23.6

BC = 18.5

CD = 23.6

DA = 18.5

Explanation:

4.

Both sets of opposite sides are parallel, so this is a parallelogram.

In parallelogram ABCD:

AB≅CD

AD≅BC

Knowing that, you can write 2 equations with the given information:

`2a-20.4=a+1.6\\a-3.5=18.5`

You can solve whichever one you want, but I'll do both to be sure.

`2a-20.4=a+1.6\\2a=a+1.6+20.4\\2a-a=1.6+20.4\\a=22`

Now for the second one:

`a-3.5=18.5\\a=18.5+3.5\\a=22`

a = 22, so now you can solve for the side lengths.

`2(22)-20.4=23.6\\22-3.5=18.5\\22+1.6=23.6\\18.5=18.5`