# Worksheet: Area of a Triangle

In this worksheet, we will practice calculating the area of a triangle given its base length and height.

**Q3: **

Find the difference between the area of a triangle whose base is 5.5 dm and height is 4 dm and the area of a rectangle whose dimensions are 21 cm and 16 cm in square centimetres.

**Q4: **

The height of a right-angled triangle is 47 cm. The base is 26 cm. What is its area?

**Q5: **

Find the height of a triangle whose base length is 13 cm and area is 299 cm^{2}.

**Q6: **

If the area of the shaded part in the given figure is 675 cm^{2}, find .

**Q8: **

is a square. Find the area of .

**Q9: **

.

- A ,
- B ,
- C ,
- D ,

**Q10: **

Find the area of . Round your answer to the nearest hundredth.

**Q11: **

Write an expression for the area in cm^{2},
of a triangle of height cm
and base cm.

- A
- B
- C
- D
- E

**Q13: **

The base of a triangle is 14.45, and its corresponding height is of that base. What is its area, to the nearest hundredth?

**Q14: **

The dimensions of a rectangular garden is 13 metres by 8 metres. Triangle represents the lawn where . Find the area of giving the answer to two decimal places.

**Q15: **

Find the area of .

**Q16: **

Find the difference in area between a parallelogram whose height is 9 cm and base length is 6 cm and a triangle whose height is 10 cm and base length is 2 cm.

- A
34 cm
^{2} - B
68 cm
^{2} - C
17 cm
^{2} - D
3 cm
^{2} - E
44 cm
^{2}

**Q17: **

is a parallelogram of area 560. Suppose that point is on . What is the area of ?

**Q18: **

The area of is 12.35. Find to the nearest hundredth.

**Q19: **

Determine the height, , of the figure, given that is the area of its colored part.

**Q20: **

A triangle has area 24 and base 12. What is its height?

**Q21: **

A triangle has an area of 45 square feet and its base is twice its height. Find the length of its base and its height, give exact answers.

- Abase , height
- Bbase , height
- Cbase , height
- Dbase , height
- Ebase , height

**Q22: **

All the triangles and squares in the quilt pattern shown are congruent. Find the area of one of the blue triangles and the area of all triangles.

- Aarea of blue triangle . area of all triangles
- Barea of blue triangle . area of all triangles
- Carea of blue triangle . area of all triangles
- Darea of blue triangle . area of all triangles
- Earea of blue triangle . area of all triangles

**Q23: **

Given that is a square of side length 47 cm, find the area of , and approximate the result to the nearest integer.

**Q24: **

Find the area of the and the length of .

- A
528 cm
^{2}, 16.25 cm - B
924 cm
^{2}, 28.43 cm - C
1,056 cm
^{2}, 16.25 cm - D
264 cm
^{2}, 8.12 cm

**Q25: **

Work out the area of the triangle.

- A24 square units
- B30 square units
- C10 square units
- D12 square units
- E20 square units