Finding the Area of Composite Shapes

The video tutorial explains how to find the area of composite figures, which are irregular 2D shapes made up of basic shapes like rectangles, triangles, semi-circles, and trapezoids. The process involves identifying the basic shapes, using their area formulas, and summing the areas. Several examples are provided, each demonstrating the calculation of composite figures using different combinations of shapes.

What is a composite figure?

• A figure that cannot be divided into simpler shapes

• A figure made up of multiple 3D shapes

• A figure made up of multiple 2D shapes

• A figure made up of one basic shape

Tags

CCSS.1.G.A.2

How do you find the area of a composite figure?

• Subtract the area of smaller shapes from larger ones

• Use the Pythagorean theorem

• Divide the figure into basic shapes and sum their areas

• Multiply the dimensions of the figure

Tags

CCSS.3.MD.C.7D

What is the area of the composite figure made of two rectangles?

• 74.13 cm²

• 223 cm²

• 135 cm²

• 88 cm²

Tags

CCSS.6.G.A.1

How do you calculate the area of a semi-circle?

• πr²

• πr² divided by 2

• πd

• 2πr

Tags

CCSS.7.G.B.4

What is the total area of the figure consisting of a rectangle and a semi-circle?

• 74.13 feet²

• 223 cm²

• 14.13 feet²

• 60 feet²

What is the area of the composite figure made of a rectangle and a triangle?

• 128 cm²

• 196 inches²

• 152 cm²

• 24 cm²

Tags

CCSS.6.G.A.1

How is the area of a trapezoid calculated in a composite figure?

• πr² for one of the bases

• Base × Height

• (Base1 + Base2) × Height ÷ 2

• (Base1 + Base2) × Height

Tags

CCSS.6.G.A.1

What is the total area of the composite figure including a trapezoid and a rectangle?

• 196 inches²

• 223 cm²

• 156 inches²

• 40 inches²

What is the area of the composite figure that includes a semi-circle and a triangle?

• 39.25 meters²

• 64.25 meters²

• 164.25 meters²

• 125 meters²

What is the total area of the composite figure made of a triangle on top of a trapezoid?

• 88 yards²

• 286 yards²

• 198 yards²

• 152 cm²