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2. The figure below consists of a triangle, a rectangle, and a trapezoid. What is the area of the figure in square units?​

2. The figure below consists of a triangle, a rectangle, and a trapezoid. What is-example-1

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Answer: 56

Explanation

well you could break up this "shape"into multiple different parts (already broken) you want to find the area of all the shapes then add the areas.

first lets start off with the two triangles at the top the area for a triangle is base x height divided by 2, the base would be because of the 5 and the 2 at the edge of the triangle and the height would be 4 because of the 10 at the top minus the 6

for this case we wouldn't divide by 2 because there are 2 triangles, so there is no point. ( 7 X 4 = 28)

then we would move onto the large rectangle, the area of a triangle is base x height, base=4 height=5 (4 x 5 = 20)

then we move onto the smaller rectangle using the same area formula, base=2 because if you look at the 6 on the top and minus the 4 of the large rectangle. height =3 (2x3=6)

and the last one the small triangle, for this we would use the same formula ( base x height divided by 2) we are dividing by two because there is only 1 triangle. base=2 and height=2 because of the five on the right minus the 3 *height of the smaller rectangle* so

(2X2 divided by 2= 2)

then we add them all up, 28 + 20 + 2 + 6 = 56

User Pratik Garg
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