The correct statement is that the area of the trapezium is 26 square units.
What is the trapezium?
It is a polygon that has four sides and four corners. The sum of the internal angle is 360 degrees. In trapezium, one pair of the opposite sides are parallel.
Given
Four points are given.
To find
The area of trapezium.
How to find the area of the trapezoid?
We know the distance formula is given by
[tex]\rm Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
So the distance between BC will be
[tex]\rm BC= \sqrt{(3-(-2))^2 + (2-2)^2}\\\\\rm BC= 5[/tex]
Similarly for AD
[tex]\rm AD= \sqrt{(5-(-3))^2 + (-2-(-2))^2}\\\\\rm AD= 8[/tex]
And the height will be
[tex]\rm Height= \sqrt{(0-0)^2 + (2-(-2))^2}\\\\\rm Height= 4[/tex]
We know the formula for the area of a trapezium,
[tex]\rm Area = \dfrac{1}{2} (sum\ of\ parallel\ sides)* Height\\\\Area = \dfrac{1}{2} (AD+BC) * Height\\\\Area = \dfrac{1}{2} (5+8) * 4\\\\Area = 26[/tex]
Thus, the area of the trapezium is 26 square units
More about the trapezium link is given below.
https://brainly.com/question/16904048
