What is the area of trapezoid abcd ? enter your answer as a decimal or whole number in the box. do not round at any steps. units²

37.5 sq. units.

Step-by-step explanation:

The coordinate of vertices of trapezoid ABCD are given,

From the diagram it is clear the area of ABCD = {Since, AD ║ BC and AB is the perpendicular distance between the parallel lines }

Now, AB = units

AD = units

Again, BC = units

Therefore, the area of trapezoid ABCD = sq. units. (Answer)

We know, that the distance formula between two points and   is  

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step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b