Answer:
151.4496
Explanation:
In order to find the area of the trapezoid, we are going to look at the shape a little differently!
Let's imagine the trapezoid is actually a square and 2 right triangles put together!
Let's first find the area of the square.
Area of a square = Length x Width
Area = 9.86 x 8.52
Area = 84.0072
Now let's find the area of the upside-down right triangles on both sides of that square/rectangle in the middle
Area of a triangle = 1/2 × base x height
[The base would be (22.2 - 8.52) ÷ 2 = 6.84] - let me know if you want me to explain how I got this answer
Area of a triangle = 1/2 × (6.84 x 9.86)
Area = 33.7212
*let's multiple this number by two since there are 2 triangles on both sides of the middle square*
33.7212 x 2 = 67.4424
Add this number to the area of the square to get our final answer.
67.4424 + 84.0072 = 151.4496
-------------------------------------------METHOD TWO --------------------------------------
**This is the creative way to do this problem, but the official formula for the area of a trapezoid is
**
(8.52 + 22.2) ÷ 2 = 15.36
15.36 x 9.86 = 151.4496
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Hope I helped! Let me know i you would like me to explain my answer more!