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Area of Polygons Worksheet

Grade 12 math worksheet on calculating the area of various polygons, including triangles, quadrilaterals, and regular polygons.

Grade 12 Math GeometryAreaArea of Polygons
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Includes

2 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.HSG.GPE.B.7CCSS.MATH.CONTENT.HSG.SRT.D.9

Topics

MathGeometryAreaPolygonsGrade 12
6 sections · Free to use · Printable
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Area of Polygons

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Read each question carefully and calculate the area of the given polygons. Show all your work.

1. Calculate the area of the triangle below.

20 cm10 cm

2. Find the area of the parallelogram shown.

18 m7 m

3. The area of a trapezoid with parallel bases of 10 cm and 16 cm, and a height of 5 cm is  .

4. A rhombus has diagonals measuring 12 inches and 15 inches. Its area is  .

5. A regular hexagon has a side length of 8 cm. Calculate its area, given that its apothem is approximately 6.93 cm.

8 cm6.93 cm

6. An octagon has a perimeter of 48 inches and an apothem of 7.24 inches. What is its area?

7. Which of the following formulas is used to calculate the area of a regular polygon?

a

A = (1/2)bh

b

A = lw

c

A = (1/2)aP

d

A = πr²