Areas of Combined Polygons

What is the Area of this shape?

• 56

• 50

• 78

• I have no idea how to do this. I need to come to tutoring.

Find the area.

• 56 in sq

• 41 in sq

• 53 in sq

• 75 in sq

Tags

CCSS.3.MD.C.7D

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

• 143 cm²

• 286 cm²

• 169 cm²

• 484 cm²

Tags

CCSS.6.G.A.1

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

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

Tags

CCSS.6.G.A.1

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

Tags

CCSS.6.G.A.1

Chloe colors a border around a drawing. The height of the drawing is 2 in. greater than the 6-in. base. What is the area of the border?

• 51 in²

• 99 in²

• 54 in²

• 48 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

Tags

CCSS.6.G.A.1

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

Tags

CCSS.6.G.A.1

A sidewalk is built around two sides of a building. What is the area of the sidewalk? (Note that the diagram is not to scale).

• 394 m²

• 9,044 m²

• 9,438 m²

• 18,482 m²