Understanding Areas of Shaded Regions in Composite Figures

How do you calculate the area of a rectangle?

• Sum of all sides

• Base times height

• Length plus width

• One-half base times height

What formula is used to find the area of a parallelogram?

• Length plus width

• Base times height

• Base plus height

• One-half base times height

What is the first step in finding the area of a shaded region within composite figures?

• Find the area of the larger shape only

• Multiply the areas of the shaded and unshaded shapes

• Add the areas of all shapes together

• Subtract the area of the unshaded shape from the shaded shape

How is the area of the shaded region within a rectangle and parallelogram composite figure calculated?

• Adding the areas of both shapes

• Subtracting the parallelogram's area from the rectangle's

• Multiplying the areas of both shapes

• Dividing the rectangle's area by the parallelogram's

In the context of composite figures, why is it sometimes necessary to subtract the area of one shape from another?

• To accurately determine the area of the shaded region

• Because addition of areas is mathematically incorrect

• To find the area of the unshaded region

• To simplify the calculation process

Which formula is applied to find the area of a trapezoid?

• One-half base times height

• Base times height

• Length plus width

• One-half of the sum of the two bases times height

What is the area of the shaded region when subtracting a triangle from a trapezoid?

• 195 feet squared

• 255 feet squared

• 60 feet squared

• 135 feet squared

How do you find the base of a triangle when it's not directly given?

• Add the lengths of adjacent sides

• Subtract adjacent side lengths from the total length

• Multiply the heights of adjacent shapes

• Divide the area by the height

What is the final step in calculating the shaded area in a composite figure involving subtraction?

• Add the areas of the shaded and unshaded shapes

• Divide the total area by the unshaded area

• Subtract the unshaded shape's area from the total

• Multiply the areas of the shaded and unshaded shapes

What is the area of the shaded region in the complex figure involving a rectangle and an adjacent triangle?

• 252 inches squared

• 12 inches squared

• 240 inches squared

• 226 inches squared