Question

Find the area of the polygon.

Answer 1

Answer: use formulas for area of square/triangle

Step-by-step 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

Answer 2

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.