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Mathematics 12 Online
OpenStudy (rootbeer003):

help

OpenStudy (rootbeer003):

OpenStudy (marcelv):

One way is to find the area using the formula for the area of trapezoids \[A =\cfrac{base+\text{top side}}{2}(h) \] And we have here the base as 16, the top side as 12 and the height as 8. Perhaps that is the easiest way of working with it, but you can also separate this into 3 pieces, 2 triangles and one rectangle. If you want to work that way, we can begin working with the triangle on the left side, by finding the base of that triangle using Pythagorean theorem, then we just find the areas of that triangle, next of that rectangle, and finally for the triangle on the right side we find its base by subtracting the top side and the base of the triangle from the base of the rectangle. I do understand that is a lot of work so the formula should be easier to work with.

OpenStudy (rootbeer003):

wow thanks that was helpful, 112?

OpenStudy (rootbeer003):

@MarcelV

OpenStudy (marcelv):

Right, you got it.

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