Composite Shapes

Match each shape to its appropriate area formula.

• Parallelogram

• Trapezoid

• Circle

• Triangle

Determine which formulas you would use to solve for area of the following shapes.

Groups:

(a) Shape made from a circle & rectangle

,

(b) Shape made from triangle & trapezoid

The shape is made using a rectangle and triangle.

The find the area of the triangle, you would use:

A= ½ × ​ (a)   × 12

To find the area of the rectangle, you would use:

A= ​ (b)   × 6

• 12
• 3
• 15
• 6
• 18

The shape is made using a rectangle and semicircle.

To find the area of the rectangle, you would use:

A= 8 × 4

To find the area of the circle, you would use

A= ( π × ​ (a)   ²) ÷ ​ (b)  

• 4
• 2
• 12
• 8

A composite shape is made from a triangle and rectangle. Addison completes the following computation to solve for area of the composite shape. Which part of her problem solving is incorrect?

(Click on your selection)

A composite shape is made from a triangle, rectangle, and semicircle. Kylie completes the following computations to solve for area. Where did Kylie make an error in the computation?

(Click on your selection)

A composite shape is made from a trapezoid and square. Cristina completes the following computation to solve for area. Specify where Cristina made an error.

(Click on your selection)

A shape is made using a square and 3 semicircles.

• The area of the square is ​ (a)   m²

• The area of the 3 semicircles is approximately ​ (b)   m²

• The area of the entire shape is approximately ​ (c)   m²

• 100
• 117.75
• 217.75
• 314
• 942
• 1,042
• 471

A shape is made from a square and an equilateral triangle

•The area of the triangle is ​ (a)   in²

• The area of the square is ​ (b)   in²

The area of the entire shape is ​ (c)   in²

• 40
• 100
• 140
• 25
• 80
• 180
• 125

The shape is made using a parallelogram and trapezoid

• The area of the parallelogram is ​ (a)   cm²

• The area of the trapezoid is ​ (b)   cm²

• The area of the entire shape is ​ (c)   cm²

• 416
• 528
• 944
• 8,320
• 832
• 1,056
• 2,112