Understanding Fractions in Geometry

The video tutorial explains how to determine the fraction of a square that is shaded. It involves calculating the area of the shaded region, which is a triangle, and the total area of the square. The area of the triangle is found using the formula one-half base times height, while the area of the square is the side length squared. The fraction is formed by dividing the triangle's area by the square's area and then simplifying it. In this example, the fraction simplifies to one-third.

What is the first step in determining the fraction of the square that is shaded?

• Find the area of the shaded region.

• Count the number of shaded squares.

• Measure the length of the square's sides.

• Calculate the perimeter of the square.

How do you express the fraction of the shaded area in relation to the square?

• By placing the area of the shaded region over the area of the square.

• By dividing the perimeter of the triangle by the perimeter of the square.

• By adding the areas of the triangle and the square.

• By subtracting the area of the square from the area of the triangle.

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

• Base times height squared.

• Base plus height divided by two.

• Base times height divided by two.

• Base plus height squared.

If the base of the triangle is 4 units and the height is 6 units, what is the area of the triangle?

• 12 square units

• 10 square units

• 20 square units

• 24 square units

What is the total area of the square if each side is 6 units long?

• 24 square units

• 12 square units

• 30 square units

• 36 square units

How is the fraction 12/36 simplified?

• 1/6

• 1/3

• 1/4

• 1/2