Combined Area Word Problems

A rectangle, a triangle, and two congruent semicircles were used to form the figure shown. Which measurement is closest to the area of the figure in square centimeters?

• 67 cm²

• 79 cm²

• 74 cm²

• 88 cm²

Two congruent squares and a parallelogram were used to form the figure shown. What is the area of the figure in square meters?

• 25.8 m²

• 40.8 m²

• 34.8 m²

• 28.8 m²

Tags

CCSS.6.G.A.1

This figure is composed of a parallelogram and a trapezoid. What is the area of the figure in square centimeters?

• 1,056 cm²

• 1,360 cm²

• 944 cm²

• 528 cm²

Tags

CCSS.6.G.A.1

A composite figure is made up of two rectangles and a right triangle. The figure and its dimensions in centimeters are shown in the diagram. What is the area of the composite figure in square centimeters?

• 336 cm²

• 360 cm²

• 312 cm²

• 344 cm²

Tags

CCSS.6.G.A.1

The figure is composed of two trapezoids. Measurements are given in feet. What is the area of the figure in square feet?

Tags

CCSS.6.G.A.1

A cutting board is created with congruent light pieces and congruent dark pieces of wood, as shown in the figure. All angles are right angles. What is the combined area of the dark pieces of wood in square inches?

• 399.75 in²

• 877.5 in²

• 478.5 in²

• 253.5 in²

This figure was created using a triangle and a semicircle, as shown below. Using the dimensions of the triangle and semicircle. Which measurement is closest to the area of the figure in square centimeters?

• 77.52 cm²

• 49.26 cm²

• 58.76 cm²

• 35.13 cm²

Two squares were used to form a figure. The side length of each square is shown. What is the area of the part of the figure that is NOT shaded?

• 80 m²

• 16 m²

• 8 m²

• 48 m²

Tags

CCSS.3.MD.C.7D

The area of a triangle is 384 square feet. If the base is 8 feet longer than the height, find the measurement of the base and the height. (A = ½bh)

• h = 24 ft and b = 32 ft

• h = 32 ft and b = 24 ft

• h = 32 ft and b = 40 ft

• h = 40 ft and b = 32 ft

Joe wants to make a path around the outside of his garden, which is 50’ x 70’. If the path is of uniform width and the entire garden and path combined are to cover 4524 square feet, how wide should the path be?

• 4 feet

• 8 feet

• 58 feet

• 78 feet