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Worksheet: Finding the Area of a Triangle

Q1:

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

Q2:

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

Q3:

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

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

Q4:

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.

Q5:

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 = 3 1 0 f t , height = 3 1 0 2 f t
  • Bbase = 3 5 f t , height = 6 5 f t
  • Cbase = 3 1 0 2 f t , height = 3 1 0 f t
  • Dbase = 6 5 f t , height = 3 5 f t
  • Ebase = 3 5 2 f t , height = 3 5 f t

Q6:

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 = 2 4 i n 2 . area of all triangles = 3 8 4 i n 2
  • Barea of blue triangle = 1 6 i n 2 . area of all triangles = 1 9 2 i n 2
  • Carea of blue triangle = 2 4 i n 2 . area of all triangles = 7 6 8 i n 2
  • Darea of blue triangle = 1 6 i n 2 . area of all triangles = 2 5 6 i n 2
  • Earea of blue triangle = 3 2 i n 2 . area of all triangles = 5 1 2 i n 2

Q7:

Given that 𝐷 𝐸 𝐹 𝑁 is a square of side length 100 cm, find the area of 𝑋 𝑌 𝐹 , and approximate the result to the nearest integer.

Q8:

𝐴 𝐵 𝐶 𝐷 is a parallelogram of area 560. Suppose that point 𝐸 is on 𝐴 𝐷 . What is the area of 𝐸 𝐵 𝐶 ?

Q9:

Find the area of the 𝐴 𝐵 𝐶 and the length of 𝐵 𝐸 .

  • A 1 056 cm2, 16.25 cm
  • B 924 cm2, 28.43 cm
  • C 264 cm2, 8.12 cm
  • D 528 cm2, 16.25 cm

Q10:

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 1 cm and base length is 3 cm.

  • A 5 1 2 cm2
  • B 51 cm2
  • C 102 cm2
  • D 1 0 5 2 cm2
  • E 11 cm2

Q11:

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 17 cm2
  • B 34 cm2
  • C 68 cm2
  • D 44 cm2
  • E 3 cm2

Q12:

Work out the area of the triangle.

  • A20 square units
  • B24 square units
  • C10 square units
  • D12 square units
  • E30 square units

Q13:

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.

Q14:

Given that the base length of a triangle is 7.4 cm, and the corresponding height is 6.5 cm, find its area approximated to the nearest hundredth, if needed.

Q15:

The dimensions of a rectangular garden is 13 meters by 8 meters. Triangle represents the lawn where . Find the area of .

  • A 39 m2
  • B 20.44 m2
  • C 33.21 m2
  • D 24 m2

Q16:

𝐴 𝐵 𝐶 is a triangle where 𝐴 𝐶 = 9 c m and the length of the perpendicular drawn from 𝐵 to 𝐴 𝐶 is 16 cm. Find the area of 𝐴 𝐵 𝐶 .

Q17:

Calculate the area of the 𝐴 𝐵 𝐷 .

Q18:

Which of the following expressions can be used to determine the area of a triangle of height 43 and base 𝑛 ?

  • A 𝑛 2
  • B 4 3 𝑛
  • C 4 3 2
  • D 4 3 𝑛 2

Q19:

The area of 𝐴 𝐵 𝐶 is 12.35. Find 𝐶 𝐷 to the nearest hundredth.

Q20:

The area of 𝐴 𝐵 𝐶 is 15.52. Find 𝐵 𝐷 to the nearest hundredth.

Q21:

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.

Q22:

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

Q23:

A triangle has area 8 1 2 and base 9. What is its height?

Q24:

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

Q25:

The base of a triangle is 14.45, and its corresponding height is 6 7 of that base. What is its area, to the nearest hundredth?