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32 votes
32 votes
Find the area of the polygon.

Find the area of the polygon.-example-1
Find the area of the polygon.-example-1
Find the area of the polygon.-example-2
User Nickisha
by
2.9k points

2 Answers

28 votes
28 votes

Answer: use formulas for area of square/triangle

Explanation:

1st one is a rhombus so use A= BH

which is 5x4 = 20

2nd one is a kite

i assume you have not learnt the formula for kites so u can use triangles (A=1/2BH)

triangle CBA: 1/2 x (6+6)(2) = 12

triangle ACD: 1/2 x (6+6)(10)= 60

area = 12 + 60 = 72

User Dimusic
by
2.7k points
18 votes
18 votes

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

________________________________________________________

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!)

------------------------------------------------------------

  • (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.

User Dagmar
by
2.4k points