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 trapezoid a b c d on a coordinate plane with vertex a at negative 3 comma 2, vertex b at 1 comma 5, vertex c at negative 7 comma negative 3, and vertex d at 0 comma negative 2. angle b is shown to be a right angle.

37.5 square units

step-by-step explanation:

firstly, there is a typo.   vertex c should be at coordinates (7, -3), not (-7, -3).   if the coordinates of c are at (-7, -3), the figure is not a trapezoid (none of the sides are parallel).

the formula for the area of a trapezoid is given by the formula

a = 1/2(b + b)(h), where b is the "big base," b is the "little base," and h is the height.

we are told that angle b is a right angle.   this means it is the height.

the big base is the longer side that makes a right angle with the height; this is be.   the length of be is given by the distance formula,

the little base is the shorter side that makes a right angle with the height; this is ad.   the length of ad is given by the distance formula,

this gives us the area:

a = 1/2(10+5)(5) = 1/2(15)(5) = 1/2(75) = 75/2 = 37.5

what's that