Answer:
Area = 36 sq. units
Step-by-step explanation:
The 3 values you need to solve for the area are the top base length, bottom base length, and height.
Top base length = 7 . It's the distance between point A and B.
Bottom base length = 11. It's the distance between points C and D.
Height = 4. It's the perpendicular distance from the top to the bottom base.
The formula to solve the area of a trapezoid (or trapezium, I'm American) is:
A = [tex]\frac{1}{2}h(b_{1} +b_{2})[/tex]
Put in the numbers above for the unknowns and you will get this:
A = [tex]\frac{1}{2}(4)(7 + 11)[/tex]
Simplify:
A= [tex]\frac{1}{2}(4)(18)[/tex]
A = 2(18)
A = 36
So the answer is 36. Hope I helped!
