# 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.

**Q4: **

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

**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?

**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 mi
^{2} - B28,511 mi
^{2} - C57,023 mi
^{2} - D47,411 mi
^{2} - E46,228 mi
^{2}

**Q11: **

This trapezoidβs area is 30,000 yd^{2}. 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,

**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

**Q21: **

is a trapezoid where
, ,
and .
If the area of is 65 cm^{2}, what is the area of the trapezoid?

**Q22: **

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