Composite Area Word Problems

1) Corine used a rectangle, an isosceles triangle, and a right triangle to form the figure shown. Which is the best estimate of the area of the figure in square centimeters?

2) 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?

3) A drawing of a sailboat was made using a rectangle and two right triangles, as shown. What is the area of the drawing of the sailboat in square centimeters?

(a)  

4) A model of a rectangular stove top with four circular burners is shown. The side lengths of the stove top and the diameters of the burners are labeled. Which measurement is the best estimate of the area in square inches of the stove top that does not include the area of the burners?

5) The figure shown is composed of two congruent triangles and a square. Measurements are given in inches. What is the total area of the figure in square inches?

(a)  

6) 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?

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

8) A sidewalk in the shape of two triangles, a rectangle, and a square was built around the edge of a building as shown. What is the area of the sidewalk in square feet?

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

10) 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?