Area of Polygons

Find the area of the figure.

• 10 cm²

• 24 cm²

• 12 cm²

• 20 cm²

Decompose the trapezoid into a rectangle and two right triangles. What is the area of this trapezoid? (Note that the diagram is not to scale).

• 45 ft²

• 72 ft²

• 57 ft²

• 40 ft²

Michael is planting a garden. It has the shape of a right triangle. He wants 2 plants for each square yard of area. How many plants does he want in the garden?

• 168 plants

• 84 plants

• 175 plants

• 600 plants

Decompose the parallelogram into a rectangle. Which quadrilateral is the correct shape?

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• 
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What is the area of this parallelogram?

• 120 m²

• 60 m²

• 120 m

• 60 m

Find the area of the parallelogram.

• 112 m²

• 56 m²

• 96 m²

• 128 m²

One way to find the area of a triangle is to compose the triangle into a parallelogram. What is the correct procedure to find the area of the shaded triangle?

• Multiply 224 x 210, then divide by 2

• Multiply 280 x 224 x 210, then divide by 2

• Multiply 280 x 224, then divide by 2

• Multiply 280 x 210, then divide by 2

What is the area of this triangle?

• 112 ft²

• 224 ft²

• 196 ft²

• 98 ft²

Decompose the regular hexagon into 6 matching triangles. What is the area of the hexagon? (Round to the nearest hundredth as needed).

• 64.95 ft²

• 129.9 ft²

• 10.83 ft²

• 32.48 ft²

The outside wall of a dollhouse has the shape of this polygon. What is the area of the polygon?

• 646 in²

• 594 in²

• 600 in²

• 650 in²