Finding the Area of the Shaded Region

In this video, Mr. Jay explains how to find the area of a shaded region formed by a smaller square inside a larger square. The process involves calculating the area of the larger square and subtracting the area of the smaller square. The video provides a step-by-step guide using the formula for the area of a square, demonstrating the calculations with side lengths of 8 yards for the larger square and 5 yards for the smaller square. The final result is an area of 39 square yards for the shaded region.

What is the first step in finding the area of the shaded region?

• Calculate the perimeter of the larger square

• Find the area of the larger square

• Add the areas of both squares

• Measure the diagonal of the smaller square

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How do you calculate the area of a square?

• Add all the sides together

• Multiply the length by the width

• Square the length of one side

• Multiply the length by the height

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of the larger square if each side is 8 yards?

• 32 square yards

• 8 square yards

• 64 square yards

• 16 square yards

Tags

CCSS.3.MD.C.7D

What is the next step after finding the area of the larger square?

• Subtract the area of the smaller square

• Divide the area of the larger square

• Add the area of the smaller square

• Multiply the area of the smaller square

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of the smaller square if each side is 5 yards?

• 10 square yards

• 20 square yards

• 25 square yards

• 15 square yards

Tags

CCSS.3.MD.C.5A

How do you find the area of the shaded region?

• Multiply the areas of both squares

• Subtract the area of the smaller square from the larger square

• Divide the area of the larger square by the smaller square

• Add the areas of both squares

Tags

CCSS.6.G.A.1

What is the final area of the shaded region?

• 64 square yards

• 39 square yards

• 25 square yards

• 49 square yards

What is the purpose of subtracting the area of the smaller square?

• To determine the total area of both squares

• To find the volume of the larger square

• To find the perimeter of the larger square

• To calculate the area of the shaded region

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What is the shape of the unshaded area?

• Square

• Circle

• Rectangle

• Triangle

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

What is the main concept covered in this video?

• Determining the area of a shaded region

• Measuring the diagonal of a rectangle

• Calculating the volume of a cube

• Finding the perimeter of a square

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2