Please Help!!! "What is the area of trapezoid ABCD? Enter your answer as a decimal or whole number in the box. Do not round at a

Question

aev [14]

3 years ago

8

Please Help!!! "What is the area of trapezoid ABCD? Enter your answer as a decimal or whole number in the box. Do not round at a

ny steps."

Mathematics

2 answers:

harina [27] · Answer 1 · 2021-12-04T23:40:59+03:00

harina [27]3 years ago

5 0

Answer:

The Answer is 37.5

Step-by-step explanation:

Alexxx [7] · Answer 2 · 2021-12-04T22:29:34+03:00

To find the length of each side of the trapezoid, you need to use the distance formula.
AB = (-3,2) and (1,5)
BC = (1,5) and (7,-3)
CD = (7, -3) and (0, -2)
AD or DA = (0,-2) and (-3,2)
Now, just use the distance formula for each line. Doing so gives us:
AB = 5
BC = 10
CD = 7.071107...
DA or AD = 5
The height is AB, the first base is BC and the second base is CD. We can plug the values for these sides into the trapezoid area formula, which is A = base 1 + base 2 all over 2 times the height. Doing so gives us 37.5 units². Therefore, the answer to your query is 37.5 units². Hope this helps and have a nice day!