# Worksheet: Area of a Trapezoid

In this worksheet, we will practice finding the area of a trapezoid using a formula and applying it in finding the area in real life.

Q1:

Determine the perimeter and area of the accompanying figure. • Aperimeter , area
• Bperimeter , area
• Cperimeter , area
• Dperimeter , area

Q2:

The area of a trapezoid is 1,900. If one of its parallel sides is 50 and its height is 50, what is the length of the other parallel side?

Q3:

A trapezoid has area 1,760 and the distance between its parallel sides is 40. If one parallel side is 39, what is the other side?

Q4:

In a right trapezoid, the parallel sides are 15 and 33, while their perpendicular is 44. What is its area?

Q5:

The given figure represents a trapezoidal wooden frame. Determine the surface area of its front side. Q6:

is a trapezoid, and has three times the area of and . What is ? Q7:

The parallel sides of a trapezoid have lengths 82 and 70. If the height is 100, what is its area?

Q8:

The area of a trapezoid is 102, and the lengths of its parallel sides are 15 and 10. What is its height?

Q9:

James said that he can draw several different trapezoids with a height of 2 and an area of 29. Charlotte disagrees and said that there is only one trapezoid with height 2 and area 29. Who is correct?

• AJames
• BCharlotte

Q10:

Arkansas has a shape that is similar to a trapezoid with bases of about 182 miles and 267 miles and a height of about 254 miles. Estimate the area of Arkansas.

• A58,206 mi2
• B28,511 mi2
• C57,023 mi2
• D47,411 mi2
• E46,228 mi2

Q11:

This trapezoid’s area is 30,000 yd2. What is its height? Q12:

The given figure shows a backyard. Determine its area in square centimeters. If the backyard was priced for \$4.00 per square meter, determine how much the backyard would cost. • A,
• B,
• C,
• D,
• E,

Q13:

A trapezoid of area 132 and base 20 has height 11. What is the length of the other base?

Q14:

is a trapezoid where the lengths of its parallel bases and are 36 cm and 48 cm respectively. The length of the perpendicular drawn from to is 35 cm. Find the area of giving the answer to the nearest square centimetre. Q15:

is a trapezoid with parallel to and . If , , and , what is the area of the trapezoid? Round to the nearest hundredth, if necessary. Q16:

Work out the area of the shape. Q17:

Find the area of this shape. Q18:

Find, to the nearest integer, the area of this composite shape. Q19:

A right trapezoid is partitioned into 4 triangles by its diagonals as shown. Which triangle has the larger area, the red one or the blue one?

• Athe red one
• Bthe blue one
• CBoth are equal.
• Dnot enough information

Q20:

Determine the perimeter and area of the accompanying figure. • Aperimeter , area
• Bperimeter , area
• Cperimeter , area
• Dperimeter , area

Q21:

is a trapezoid where , , and . If the area of is 65 cm2, what is the area of the trapezoid? Q22:

Find the area of the quadrilateral giving the answer to the nearest square unit. 