What is the area of the trapezoid shown below?

18units²

Step-by-step explanation:

Hey there so the first step to solving this problem is to find out the formula for the area of a trapezoid

The area for a trapezoid formula is  A = ½ (b 1 +b 2 )h

The next thing we want to do is find the height which is the dotted line

Because that is a right triangle we use the Pythagorean Theorem a²+b²=c²

We are given the hypotenuse and one leg so to find the other leg we do

5²-4²

25-16=9

Then we take the square root of 9

√9=3

so the height is 3

Next we want to find the bottom base length

the bottom base length is 8 because of the 4 on top and the 4 on the bottom

4+4=8

now we just plug in everything to get the area

4+8=12

12x.5=6

6x3=18

the area of the trapezoid is 18units²

ItsJustMark :D

1/4 because there is 4 grades.