Lesson Worksheet: Area of a Parallelogram Mathematics • 6th Grade

In this worksheet, we will practice calculating the area of a parallelogram and solving word problems requiring the areas of parallelogram-shaped figures.

Q1:

Given that 𝐴𝐵𝐶𝐷 is a parallelogram and 𝐸𝐹=6cm, find its area.

Q2:

Find the area of the parallelogram 𝐴𝐵𝐶𝐷 where 𝐴𝐵=8.3cm.

Q3:

Find the area of a parallelogram having a height of 18 cm and a base length of 12 cm.

Q4:

The given figure shows a parallelogram inside a rectangle. Determine the area inside the rectangle that is not occupied by the parallelogram.

Q5:

The table shows the dimensions of parallelograms drawn by three students. Whose parallelogram has the largest area?

StudentBase ()cmHeight ()cm
James212315
Jacob213127
Mason149429
  • AJacob
  • BMason
  • CJames

Q6:

Given that 𝐴𝐵𝐶𝐷 is a parallelogram and 𝐷𝐸=13cm, find the length of 𝐷𝐹.

Q7:

A parallelogram with area 301 has a base of 35. What is its height?

Q8:

Find the area of the parallelogram 𝐴𝐵𝐶𝐷.

Q9:

If 𝐶𝐵=23cm, 𝐴𝐸=16cm, and 𝐴𝐹=20cm, find the area of the parallelogram 𝐶𝐵𝐴𝐷 and then determine the length of 𝐶𝐷 to the nearest hundredth.

  • Aarea of 𝐶𝐵𝐴𝐷=16.00cm, 𝐶𝐷=320.00cm
  • Barea of 𝐶𝐵𝐴𝐷=184.00cm, 𝐶𝐷=18.40cm
  • Carea of 𝐶𝐵𝐴𝐷=368.00cm, 𝐶𝐷=18.40cm
  • Darea of 𝐶𝐵𝐴𝐷=18.40cm, 𝐶𝐷=368.00cm
  • Earea of 𝐶𝐵𝐴𝐷=320.00cm, 𝐶𝐷=16.00cm

Q10:

Determine the height of a parallelogram whose area is 20 cm2 and base length is 4 cm.

Q11:

Find the area of the parallelogram 𝐴𝐵𝐶𝐷, given that 𝐵𝐹=6.69 cm.

Q12:

In this wallpaper design, what is the area of the shaded parallelograms?

Q13:

A town requires each parking space to have a minimum area of 169 square feet. Do the measurements of the parking spaces shown meet the requirements? State the area of each parking space.

  • AYes, 345 ft2
  • BNo, 53 ft2
  • CNo, 26.5 ft2
  • DNo, 86.25 ft2
  • EYes, 172.5 ft2

Q14:

In the figure shown, suppose that the area of parallelogram 𝐴𝐵𝐶𝐷 is 1,728 while 𝐵𝐷=36. What is the area of rectangle 𝐵𝐸𝐷𝐹?

Q15:

The given diagram shows a parallelogram inside a rectangle. If the diagram represents one tile, determine the area the parallelograms cover over four tiles.

Q16:

Find the area of this parallelogram in square meters.

Q17:

If the area of a parallelogram is 105 cm2 and its height is 7 cm, find the length of the corresponding base.

Q18:

The lengths of two adjacent sides of a parallelogram are 11 cm and 14 cm. If its greater height is 8 cm, find its area.

Q19:

Find the area of a parallelogram in which the lengths of two adjacent sides are 60 cm and 75 cm, and the smaller height is 7 cm.

Q20:

A set of parallelograms are arranged in a pattern. The first has base width 22 and height 25. The second has base width 22 and height 50. The third has base width 22 and height 100. What is the area of the sixth parallelogram?

Q21:

Work out the area of the parallelogram.

  • A20 square units
  • B24 square units
  • C30 square units
  • D12 square units
  • E10 square units

Q22:

Work out the area of the parallelogram.

Q23:

If the base length of a parallelogram is 7.2 cm, and the corresponding height is 5.2 cm, find its area.

Q24:

Given that 𝐴𝐸=4.5 and that 𝐴𝐵𝐶𝐷 is a parallelogram, find its area.

Q25:

Find the area of the quadrilateral giving the answer to the nearest square unit.

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