Area of Triangles, Polygons, Trapezoid

A polygon

• has straight lines

• is closed

• has curved lines

• has more than three sides

• has at least three sides

A polygon with five sides is a _________.

Find the area of the right triangle.

• 30 cm²

• 60 cm²

• 62 cm²

• 31 cm²

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 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

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

Roger and Joanne are planting a rectangular garden. The garden is 9 1/2 ft by 13 ft. They want to use half the garden for cucumbers and half the garden for tomatoes. They decide to separate the garden into the two right triangles as shown. What is the area of the tomato part of the garden?

• 61.75 ft²

• 61.75 ft

• 123.5 ft²

• 123.5 ft

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

Compose this triangle into a parallelogram and find the area of the shaded polygon.

• 143 cm²

• 286 cm²

• 169 cm²

• 484 cm²