Quiz on Areas of Trapezoids, Rhombi, and Kites

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

• Area = base * height

• Area = 1/2 * height * (base1 + base2)

• Area = base1 + base2

• Area = height * (base1 - base2)

In a trapezoid, what is the relationship between the bases?

• They are perpendicular to each other.

• They are equal in length.

• They are parallel to each other.

• They form a right angle.

Ryan's backyard is trapezoidal. If the top base is 20.5 feet and the bottom base is 30.5 feet, what is the sum of the bases?

• 51 feet

• 50 feet

• 40 feet

• 30 feet

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

• Area = 1/2 * (diagonal1 + diagonal2)

• Area = diagonal1 + diagonal2

• Area = diagonal1 * diagonal2

• Area = 1/2 * diagonal1 * diagonal2

If a kite has diagonals measuring 40 inches and 82 inches, what is its area?

• 410 inches squared

• 1640 inches squared

• 3280 inches squared

• 820 inches squared

When given the area of a trapezoid, what is the first step to find the unknown height?

• Multiply the area by 2

• Add the bases together

• Subtract the bases from the area

• Divide the area by the sum of the bases

In a kite, if one diagonal is twice the length of the other, how do you express the total length of the longer diagonal?

• Diagonal = x + 2

• Diagonal = 2x

• Diagonal = x

• Diagonal = x/2

If the area of a kite is 400 cm² and one diagonal is 20 cm, what is the length of the other diagonal?

• 40 cm

• 20 cm

• 10 cm

• 30 cm

What is the area of a trapezoid with bases 12.8 and 20, and height 10?

• 328 units squared

• 1640 units squared

• 320 units squared

• 164 units squared

If the area of a kite is 247.5 and one diagonal is 22.5, what is the length of the other diagonal?

• 24

• 20

• 22

• 11.25