Calculating Area and Perimeter of Composite Shapes

This tutorial covers the calculation of area and perimeter for composite plane shapes. It includes three problems, each involving different combinations of rectangles and squares. The video explains how to calculate the area by subtracting the areas of smaller shapes from larger ones and how to determine the perimeter by summing the lengths of the outer sides. The tutorial emphasizes the importance of not including dotted lines in perimeter calculations and provides step-by-step solutions for each problem.

What is the first step in solving the area of a composite shape made of a rectangle and a square?

• Calculate the perimeter of the square.

• Add the areas of the rectangle and square.

• Find the area of the entire rectangle.

• Subtract the area of the rectangle from the square.

How do you determine the perimeter of a composite shape?

• Add the perimeters of all individual shapes.

• Subtract the perimeter of the square from the rectangle.

• Multiply the lengths of all sides.

• Start from one point and add all sides, excluding dotted lines.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

In Problem 2, what is the formula used to find the area of the entire rectangle?

• Breadth minus length.

• Length divided by breadth.

• Length times breadth.

• Length plus breadth.

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CCSS.3.MD.C.7D

What is the correct method to find the area of a composite shape with a rectangle and a square cut out?

• Multiply the areas of the rectangle and square.

• Divide the area of the rectangle by the square.

• Subtract the area of the square from the rectangle.

• Add the areas of the rectangle and square.

Tags

CCSS.3.MD.D.8

How is the perimeter of the composite shape in Problem 2 calculated?

• By subtracting the perimeter of the square from the rectangle.

• By multiplying the lengths of all sides.

• By starting from one point and adding all sides, excluding dotted lines.

• By adding the lengths of all sides, including dotted lines.

Tags

CCSS.3.MD.C.7D

In Problem 3, what is the first step in calculating the area of the composite shape?

• Find the area of the smaller squares.

• Calculate the area of the entire large square.

• Subtract the area of the large square from the smaller squares.

• Add the areas of all squares.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the formula for finding the area of a square?

• Side times height.

• Length times breadth.

• Side squared.

• Length plus breadth.

How do you calculate the perimeter of the composite shape in Problem 3?

• Subtract the perimeter of the smaller squares from the large square.

• Add the lengths of all sides, excluding dotted lines.

• Multiply the lengths of all sides.

• Add the perimeters of all individual squares.

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CCSS.6.G.A.1

What is the total area of the composite shape in Problem 3?

• 96 square centimeters

• 112 square centimeters

• 128 square centimeters

• 144 square centimeters

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CCSS.3.MD.D.8

What is the perimeter of the composite shape in Problem 3?

• 32 centimeters

• 40 centimeters

• 48 centimeters

• 64 centimeters

Tags

CCSS.3.MD.D.8