Shaped Region Area Math

Find the area of the given figure. (Figure with a combination of triangles and rectangles)

• The area of the figure is the average of the areas of all the individual shapes

• The correct answer for the total area of the figure is the sum of the areas of all the individual shapes.

• The area of the figure is the perimeter of the figure

• The area of the figure is the sum of the perimeters of all the individual shapes

Find the area of the given figure. (Figure with multiple rectangles and squares)

• The length of the longest side of the figure

• The sum of the areas of all the rectangles and squares in the figure.

• The volume of the figure

• The perimeter of the figure

Calculate the total area of the composite figure shown. (Figure with a combination of rectangles and triangles)

• The answer will depend on the specific measurements of the composite figure.

• The total area is impossible to calculate

• The total area is always 100 square units

• The total area is equal to the sum of the areas of all the shapes

Find the area of the given L-shaped figure. (Figure with an L-shaped combination of rectangles)

• The area of the L-shaped figure is the sum of the areas of the two rectangles without subtracting the overlapping area

• The area of the L-shaped figure is the area of the smaller rectangle only

• The correct answer for the area of the L-shaped figure is the sum of the areas of the two rectangles minus the overlapping area.

• The area of the L-shaped figure is the area of the larger rectangle only

Calculate the total area of the composite figure shown. (Figure with a combination of circles and rectangles)

• The total area of the composite figure is the average of the areas of all the individual shapes.

• The total area of the composite figure is the sum of the areas of all the individual shapes.

• The total area of the composite figure is the difference of the areas of all the individual shapes.

• The total area of the composite figure is the product of the areas of all the individual shapes.

If the base of a triangle is 8 cm and the height is 6 cm, what is the area of the triangle?

• 24 square cm

• 10 square cm

• 48 square cm

• 14 square cm

Landon used a semicircle, a rectangle, and a right triangle to form the figure shown. Which is the best estimate of the area of the figure in square centimeters?

• 52 cm²

• 44 cm²

• 26 cm²

• 38 cm²

Two rectangles were used to form the following picture frame. Which measurement is closest to the area of the shaded region of this picture frame in square inches?

• 177 in²

• 357 in²

• 537 in²

• 180 in²

A circular railroad-crossing sign has a diameter of 30 inches. Which measurement is closest to the area of the sign in square inches?

• 94.2 in²

• 188.4 in²

• 706.5 in²

• 2826 in²

A pencil holder shaped like a triangular prism is shown in the picture. The height of the pencil holder is 12 cm, and the volume of the pencil holder is 216 cm3. What is the area of the base of the pencil holder in square centimeters?

• 36 cm²

• 18 cm²

• 2,592 cm²

• 1,296 cm²