Exploring Area and Perimeter of Triangles and Trapezoids

This video tutorial covers the concepts of perimeter and area for triangles and trapezoids, focusing mainly on area calculations. It explains the formulas used for these shapes, including the use of the one-half fraction in both cases. The tutorial provides detailed examples of calculating the area of triangles, including right triangles using the Pythagorean theorem, and trapezoids, including right trapezoids. The video concludes with practical examples to reinforce the learning objectives.

What is the perimeter of a triangle with sides measuring 3, 4, and 5?

• 10

• 15

• 12

• 9

What is the formula for the area of a triangle?

• Base plus height

• One-half base times height

• One-half base plus height

• Base times height

If a triangle has a base of 10 and a height of 15, what is its area?

• 30

• 25

• 75

• 150

In a right triangle, if one leg is 32 and the hypotenuse is 40, what is the length of the other leg?

• 16

• 24

• 9

• 12

How do you calculate the perimeter of a trapezoid?

• One-half the sum of the bases

• Multiply the bases by two

• Add all four sides

• Add the bases and multiply by height

What is the area formula for a trapezoid?

• Base times height

• One-half base times height

• The sum of the bases times height

• One-half the sum of the bases times height

How do you find the height of a triangle when given the area and base?

• Multiply the area by the base

• Divide the area by the base

• Multiply the area by one-half the base

• Divide the area by one-half the base

If a trapezoid's area is calculated as one-half the sum of the bases times the height, what does this formula emphasize?

• The irrelevance of the sides

• The symmetry of the shape

• The importance of the height

• The significance of the bases

If the bases of a trapezoid are 20 yards and 30 yards, and the area is 210 square yards, what is the height?

• 12 yards

• 10 yards

• 8.4 yards

• 14 yards

For a trapezoid with bases of 9 feet and 6 feet and a height of 4 feet, what is the area?

• 15 square feet

• 45 square feet

• 60 square feet

• 30 square feet