# Worksheet: Area of a Trapezoid

In this worksheet, we will practice finding the area of some trapezoidal objects in real life, like cities and yards.

**Q4: **

The area of a trapezoid is given by . Use the formula to find the area of a trapezoid where , , and .

**Q5: **

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

**Q7: **

If the area of a trapezium is 1 377 cm^{2},
and its height is 51 cm,
find the length of its middle base.

**Q8: **

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

**Q9: **

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

**Q10: **

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

**Q11: **

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

- ARamy
- BSally

**Q12: **

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
mi
^{2} - B
mi
^{2} - C
mi
^{2} - D
mi
^{2} - E
mi
^{2}

**Q13: **

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

**Q14: **

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.

- AArea = 18 060 000 cm
^{2}. Total cost = $7 224.00 - BArea = 903 000 cm
^{2}. Total cost = $4 704.00 - CArea = 1 806 000 cm
^{2}. Total cost = $3 612.00 - DArea = 9 030 000 cm
^{2}. Total cost = $3 612.00 - EArea = 11 760 000 cm
^{2}. Total cost = $4 704.00

**Q15: **

Given that , find the area of , to the nearest hundredth.

**Q16: **

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

**Q17: **

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.

**Q18: **

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

**Q19: **

Work out the area of the shape.

**Q20: **

In the trapezoid , . Find the area of in square feet. Round your answer to the nearest tenth.

**Q21: **

Find the area of this shape.

**Q22: **

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

**Q23: **

A right Trapezium is partitioned into 4 triangles by its diagonals, as shown in the figure.

Which region has the larger area, red or blue?

- Ablue
- Bred
- Cnot enough information
- Dboth are equal

**Q24: **

Given that is a trapezoid, , and , find .