Finding the Area of the Shaded Region

In this video tutorial, Mr. Jay explains how to find the area of a shaded region formed by a triangle inside a square. The process involves calculating the area of the larger square and the smaller triangle, then subtracting the triangle's area from the square's area to find the shaded region. The tutorial provides step-by-step instructions, using formulas for the area of a square and a triangle, and concludes with a recap of the method used.

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

• Measure the angles of the triangle

• Calculate the perimeter of the square

• Determine the color of the shaded region

• Find the area of the outside square

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Which formula is used to find the area of a square?

• Side length squared

• Diameter times radius

• Length times width

• Base times height

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

If each side of the square is 7 yards, what is the area of the square?

• 42 square yards

• 49 square yards

• 56 square yards

• 63 square yards

Tags

CCSS.6.G.A.1

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

• Base times height divided by 2

• Length times width

• Side length squared

• Radius squared times pi

Tags

CCSS.6.G.A.1

Given a triangle with a base of 4 yards and a height of 5 yards, what is its area?

• 11 square yards

• 10 square yards

• 9 square yards

• 8 square yards

Tags

CCSS.3.MD.C.7D

How do you find the area of the shaded region?

• Add the areas of the square and triangle

• Multiply the areas of the square and triangle

• Subtract the area of the triangle from the area of the square

• Divide the area of the square by the area of the triangle

What is the area of the shaded region if the square is 49 square yards and the triangle is 10 square yards?

• 59 square yards

• 49 square yards

• 39 square yards

• 29 square yards

Tags

CCSS.3.MD.C.7D

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

• Multiply the areas of the square and triangle

• Subtract the area of the triangle from the area of the square

• Add the areas of the square and triangle

• Divide the area of the square by the area of the triangle

What is the purpose of subtracting the area of the triangle from the area of the square?

• To find the perimeter of the shaded region

• To measure the angles of the shaded region

• To determine the color of the shaded region

• To calculate the area of the shaded region

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

What is the main concept covered in this tutorial?

• Finding the perimeter of a square

• Calculating the area of a shaded region

• Measuring the angles of a triangle

• Determining the volume of a cube

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2