Geometry: Area of Composite Figures and Shaded Regions

What is the total area of the arrow-shaped figure, which is composed of a triangle and a rectangle?

• 28 units squared

• 20 units squared

• 16 units squared

• 30 units squared

A rectangle has a length of 9 units and a width of 6 units. A circle with a radius of 3 units is cut out from it. What is the area of the remaining shaded region? (Use π ≈ 3.14)

• 54 units squared

• 28.3 units squared

• 25.7 units squared

• 82.3 units squared

A composite figure is formed by two identical parallelograms. Each parallelogram has a base of 6 units and a height of 3 units. What is the total area of this figure?

• 18 units squared

• 36 units squared

• 24 units squared

• 42 units squared

An L-shaped figure can be divided into two rectangles. The top rectangle has a width of 2 units and a height of 5 units. The bottom rectangle has a width of 10 units and a height of 5 units. What is the total area of the L-shaped figure?

• 10 units squared

• 50 units squared

• 60 units squared

• 70 units squared

A figure is made by combining a square with a side length of 5 units and three-quarters of a circle with a radius of 5 units. What is the total area of this figure? (Use π ≈ 3.14)

• 25.0 square units

• 58.9 square units

• 83.9 square units

• 100.0 square units

A rectangle measures 8 units long and 4 units wide. A semicircle with a diameter of 4 units is removed from one end. What is the area of the remaining shaded region? (Use π ≈ 3.14)

• 32.0 square units

• 6.3 square units

• 25.7 square units

• 38.3 square units

An equilateral triangle is inscribed inside a circle with a radius of 4 units. What is the area of the shaded region (the area of the circle minus the area of the triangle)? (Use π ≈ 3.14)

• 50.3 square units

• 20.8 square units

• 29.5 square units

• 71.1 square units

A rectangle has a length of 10 units and a width of 6 units. Two identical rhombuses are cut out from the rectangle. If each rhombus has diagonals of 5 units and 6 units, what is the area of the remaining shaded region?

• 60 square units

• 15 square units

• 30 square units

• 45 square units