Answer:
164.
Explanation:
We can break this shape into a rectangle and a trapezoid.
Area for a rectangle is l x w, or in this case, 8 x 16.
8 x 16 = 128, so the rectangle’s area is 128.
Area for a trapezoid is ((a+b)/2)h.
We do not have all the info we need to solve this equation yet. We need the measurement of two sides of the trapezoid. This is 16 - 12, or 4. The other side of the trapezoid we need to find is 16 - 8, or 8.
Now we can plug in the numbers.
((8 + 10)/2)4
(18/2)4
9 x 4
36
Now we can add up the areas of both shapes to find the answer.
36 + 128 = 164, so the answer is 164.