# Worksheet: Area of a Triangle

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

Q1:

Find the area of a triangle whose height is 23 cm and base length is 16 cm.

• A 368 cm2
• B 39 cm2
• C 78 cm2
• D 184 cm2
• E 736 cm2

Q2:

What is the area of the triangle on the front of Ethan’s math folder?

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 cm2.

Q6:

If the area of the shaded part in the given figure is 675 cm2, find .

Q7:

If the perimeter of an equilateral triangle is 21.19 cm, and its area is 15.6 cm2, find its height to the nearest hundredth.

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 cm2, of a triangle of height cm and base cm.

• A
• B
• C
• D
• E

Q12:

The area of a triangle with base and height is . Find the area of a triangle with a height of 16 and a base of 11.

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 cm2
• B 68 cm2
• C 17 cm2
• D 3 cm2
• E 44 cm2

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 cm2, 16.25 cm
• B 924 cm2, 28.43 cm
• C 1,056 cm2, 16.25 cm
• D 264 cm2, 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