green/first polygon:
Four equal triangles inside a polygon, so we have to find an area of one triangle and multiply that area with four since there are four triangles in total.
- base is 5, height is 4.
- area of triangle formula: A = (bh) / 2
- = (5x4) / 2
- = 20 / 2 = 10
- 10 x 4 = 40 (b/c there are four equal triangles)
40 square units is the area of green/second polygon
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teal/second polygon:
Two equal triangles and another two (different) equal triangles, so we have to find an area of a smaller triangle and multiply that area with two since there are two equal smaller triangles.
Then we have to find an area of a larger triangle and multiply that area with two since there are two larger equal triangles.
- (smaller triangle)
- base is 6, height is 2.
- area of triangle formula: A = (bh) / 2
- = (6x2) / 2
- = 12 / 2 = 6
- 6 x 2 = 12 (b/c there are two equal smaller triangles)
- 12 square units of the area of two equal smaller triangles (so we're not done yet!)
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- (larger triangle)
- base is 10, height is 6.
- area of triangle formula: A = (bh) / 2
- = (10x6) / 2
- = 60 / 2 = 30
- 30 x 2 = 60 (b/c there are two equal larger triangles)
- 60 square units of the area of two equal larger triangles
12 + 60 = 72
72 square units is the area of teal/second polygon.
