Exploring the Area of Compound Shapes

What is the first step in calculating the area of compound shapes?

• Guess the total area

• Calculate the perimeter of the shape

• Divide the shape into smaller, recognizable shapes

• Multiply the length by the width

What is the area of the first square mentioned?

• 256 square inches

• 128 square inches

• 64 square inches

• 32 square inches

How do you find the missing side of the second square?

• Divide 16 by 2

• Multiply 8 by 2

• Add 8 to 16

• Subtract 8 from 16

What is the area of the parallelogram?

• 36 square feet

• 126 square feet

• 81 square feet

• 45 square feet

How is the total area of the rectangle and two half circles calculated?

• Add the area of the rectangle to the area of a full circle

• Divide the area of the rectangle by the area of the circles

• Multiply the area of the rectangle by two

• Subtract the area of the circles from the rectangle

What is the radius of the circle in the compound shape with the rectangle?

• 12

• 9

• 3

• 6

What formula is used to calculate the area of the triangle?

• Base times height divided by 2

• Pi times radius squared

• Base times height

• Length times width

How do you calculate the area of a trapezoid?

• Base times height

• Pi times radius squared

• One half the height times the sum of the bases

• Length times width

What is the total area of the compound shape including a parallelogram and a trapezoid?

• 192.5 square feet

• 115.5 square feet

• 150 square feet

• 77 square feet

What is the correct approach to find the area of compound shapes?

• Divide the total perimeter by the number of shapes

• Calculate the area of each shape separately and then subtract them

• Calculate the area of each shape separately and then add them

• Multiply the largest shape's area by the number of shapes