Exploring Area Calculations for Trapezoids and Kites

What defines the bases of a trapezoid?

• The longest sides of the shape

• Any two sides of the shape

• The two non-parallel sides

• The two parallel sides

How is the height of a trapezoid determined?

• The slant height of the shape

• Length of any side of the trapezoid

• Perpendicular distance between the two bases

• Distance between any two points on the bases

What is the formula to calculate the area of a trapezoid?

• (Base1 + Base2) / Height

• 1/2 * Base1 * Base2 * Height

• Base1 + Base2 + Height

• 1/2 * (Base1 + Base2) * Height

If a trapezoid has bases of 17 cm and 25 cm, and a height of 15 cm, what is its area?

• 315 cm²

• 210 cm²

• 400 cm²

• 350 cm²

Which elements are crucial for calculating the area of a kite?

• The two diagonals

• The lengths of all sides

• The longest diagonal only

• The perimeter of the kite

What is the correct formula for the area of a kite?

• 1/2 * (Diagonal1 + Diagonal2)

• Diagonal1 * Diagonal2

• Diagonal1 + Diagonal2

• 1/2 * Diagonal1 * Diagonal2

In a kite, if one diagonal is 40 units and the other is 28 units, what is the area?

• 680 unit²

• 560 unit²

• 1040 unit²

• 350 unit²

What is the area of a trapezoid with bases 32 cm and 49 cm, and height 18 cm?

• 900 cm²

• 650 cm²

• 810 cm²

• 729 cm²

How do you find the missing diagonal length if the area of a kite is known?

• Divide the area by the product of half the known diagonal and 2

• Multiply the area by the known diagonal and then divide by 2

• Multiply the area by half of the known diagonal

• Divide the area by half of the known diagonal

If the area of a kite is 28 cm² and one diagonal is 14 cm, what is the length of the other diagonal?

• 12 cm

• 4 cm

• 7 cm

• 10 cm