# 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 is a parallelogram and , find its area. Q2:

Find the area of the parallelogram where . 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?

 Student Base ()cm Height ()cm James 212 315 Jacob 213 127 Mason 149 429
• AJacob
• BMason
• CJames

Q6:

Given that is a parallelogram and , find the length of . Q7:

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

Q8:

Find the area of the parallelogram . Q9:

If , , and , find the area of the parallelogram and then determine the length of to the nearest hundredth. • Aarea of ,
• Barea of ,
• Carea of ,
• Darea of ,
• Earea of ,

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 , given that 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 is 1,728 while . What is the area of rectangle ? 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 and that is a parallelogram, find its area. Q25:

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