Calculating Areas of Shapes

The video tutorial explains how to find the area of a composite shape by dividing it into a rectangle and a triangle. It details the process of calculating the area of each part separately and then summing them to find the total area. The tutorial includes step-by-step instructions for determining the dimensions needed for these calculations, such as the base of the triangle, and provides a detailed explanation of the arithmetic involved in finding the total area.

What is the first step in finding the area of the given shape?

• Calculate the perimeter of the shape.

• Divide the shape into simpler parts.

• Measure the angles of the shape.

• Find the volume of the shape.

Tags

CCSS.4.MD.A.3

What are the dimensions of the rectangle in the shape?

• 6 cm by 3 cm

• 18 cm by 6 cm

• 9 cm by 6 cm

• 18 cm by 9 cm

How do we determine the base of the triangle?

• By estimating based on the height.

• By measuring it directly.

• By subtracting the known lengths from the total length.

• By using the Pythagorean theorem.

What is the height of the triangle?

• 6 centimeters

• 9 centimeters

• 18 centimeters

• 3 centimeters

Tags

CCSS.6.G.A.1

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

• Base plus height

• One-half base times height

• Length times width

• Base times height

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of the rectangle?

• 81 square centimeters

• 36 square centimeters

• 108 square centimeters

• 54 square centimeters

Tags

CCSS.6.G.A.1

What is the area of the triangle before converting to decimal?

• 45 square centimeters

• 81 halves

• 81 square centimeters

• 40.5 square centimeters

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

How is the fractional area of the triangle converted to a decimal?

• By adding a decimal point.

• By subtracting from the rectangle's area.

• By dividing by two.

• By multiplying by two.

Tags

CCSS.6.G.A.1

What is the total area of the shape?

• 54 square centimeters

• 108 square centimeters

• 148.5 square centimeters

• 81 square centimeters

Tags

CCSS.3.MD.C.7D

What is the final step in finding the total area of the shape?

• Multiplying the areas of the parts.

• Dividing the total length by the width.

• Subtracting the areas of the parts.

• Adding the areas of the rectangle and triangle.

Tags

CCSS.3.MD.C.7D