To find the area of the trapezoid, we can decompose it into a rectangle and two right triangles.
Let's denote the trapezoid as ABCD, where AB and CD are the parallel bases, and AD and BC are the non-parallel sides.
First, let's draw a line from point C perpendicular to AD, creating two right triangles (triangle DCF and triangle ECB) and a rectangle (rectangle ADFC).
Now, we know that the area of a rectangle is given by length x width. In this case, the width is AF (which is the same as CD) and the length is AD. So, the area of the rectangle ADFC is AF x AD.
Next, we know that the area of a triangle is given by 1/2 x base x height. In this case, the base of triangle DCF is FC and the height is AD. So, the area of triangle DCF is 1/2 x FC x AD. Similarly, the area of triangle ECB is 1/2 x EC x AD.
Therefore, the total area of the trapezoid ABCD is the sum of the areas of the rectangle and the two triangles:
Area = (AF x AD) + (1/2 x FC x AD) + (1/2 x EC x AD)
Now, using the measurements of AF, FC, EC, and AD, plug in the values and calculate the area of the trapezoid.
Find the area of the trapezoid by decomposing it into other shapes
(1 point)
cm2
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