# 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.

**Q5: **

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

**Q7: **

is a trapezium, and has three times the area of and . What is ?

**Q8: **

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

**Q9: **

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

**Q10: **

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

**Q11: **

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.

- A
58,206 mi
^{2} - B
28,511 mi
^{2} - C
57,023 mi
^{2} - D
47,411 mi
^{2} - E
46,228 mi
^{2}

**Q12: **

This trapezoid’s area is 30,000 yd^{2}. What is its height?

**Q13: **

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 ,

**Q14: **

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

**Q15: **

is a trapezium 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.

**Q16: **

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

**Q17: **

Work out the area of the shape.

**Q18: **

Find the area of this shape.

**Q19: **

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

**Q20: **

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

**Q22: **

is a trapezium where , , and . If the area of is 65 cm, what is the area of the trapezium?