Understanding Shaded Area Fractions

The video tutorial explains how to find the fraction of a shaded area within a square. It begins by introducing the problem and the formula for calculating the shaded area as the sum of the areas of two right triangles divided by the area of the square. The tutorial then demonstrates how to calculate the areas of the triangles and the square, followed by simplifying the resulting fraction to find the final answer.

What is the size of the square in the problem?

• 4 by 4

• 5 by 5

• 6 by 6

• 7 by 7

Tags

CCSS.6.G.A.1

How is the area of a triangle calculated?

• Base times height

• One-half base times height

• Base plus height

• Base minus height

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the formula for the area of a square?

• Length plus width

• Length squared

• Width squared

• Length times width

Tags

CCSS.6.G.A.1

What is the area of the left triangle?

• 6

• 15

• 9

• 12

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

What is the simplified fraction of the shaded area?

• 5/12

• 1/2

• 2/3

• 3/4

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B