Calculating Areas of Trapezoids, Rhombi, and Kites

What is the formula for calculating the area of a trapezoid?

• 1/2 * (Base1 + Base2) * Height

• Base * Height

• 1/2 * Base * Height

• Base1 + Base2 + Height

Which statement is true about the bases of a trapezoid in the area formula?

• The bases must be of equal length.

• The bases are interchangeable in the formula.

• Only the longer base is used in the formula.

• The bases must be perpendicular to each other.

How is the height used in the area calculation of a trapezoid?

• It is multiplied by the sum of the bases.

• It is added to the sum of the bases.

• It is subtracted from the sum of the bases.

• It is the average of the bases.

What is the result of the area calculation for a trapezoid with bases 7 and 10 units, and height 6 units?

• 51 square units

• 60 square units

• 72 square units

• 85 square units

What is the area formula for a rhombus or a kite?

• 1/2 * Diagonal1 * Diagonal2

• 1/2 * (Diagonal1 + Diagonal2)

• Length * Width

• Base * Height

In a rhombus, how do the diagonals interact at their intersection?

• They bisect each other into four equal segments.

• Only one diagonal is bisected.

• They cross each other at varying angles.

• They intersect but do not bisect each other.

How do the diagonals of a kite differ from those of a rhombus?

• Only one diagonal of a kite is bisected.

• Both diagonals of a kite are bisected.

• Kite diagonals are always equal in length.

• Diagonals of a kite intersect outside the shape.

What unique property does a right trapezoid have regarding its height?

• The height forms a right angle with the bases.

• The height is equal to one of the bases.

• The height is irrelevant in right trapezoids.

• The height is the hypotenuse of a triangle formed within the trapezoid.

If a trapezoid has a height of 5 units and one base of 6 units, and its area is 48 square units, what is the length of the other base?

• 10 units

• 16 units

• 12 units

• 14 units

In a kite, if one diagonal is 6 units and the area is 48 square units, what is the length of the other diagonal?

• 8 units

• 10 units

• 16 units

• 12 units