# Worksheet: Area of a Parallelogram

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

**Q3: **

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

- A
60 cm
^{2} - B
216 cm
^{2} - C
cm
^{2} - D
30 cm
^{2} - E
432 cm
^{2}

**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 given figure shows one parallelogram inside another. Determine the area of the shaded part.

- A
cm
^{2} - B
cm
^{2} - C
74 cm
^{2} - D
cm
^{2}

**Q6: **

The following figure represents a rectangle inside a parallelogram. What is the area of the colored region?

**Q7: **

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

Student | Base | Height |

James | ||

Jacob | ||

Mason |

- AMason
- BJames
- CJacob

**Q8: **

The figure below represents the design of a rectangular piece of land whose dimensions are 14 m and 9.2 m, where it has three congruent places for parking cars that are in the shape of a parallelogram, two congruent places for planting flowers that are in the shape of a triangle, and a passage for cars that is in the shape of a rectangle whose width is 4.6 m. Determine the total area specified for parking cars and the total area for planting flowers respectively.

- A parking area , garden area
- B parking area , garden area
- C parking area , garden area
- D parking area , garden area

**Q9: **

Find the base length of a parallelogram whose area is 306 cm^{2}
and height is 17 cm.

- A cm
- B cm
- C cm
- D cm
- E cm

**Q10: **

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

**Q11: **

The lengths of two adjacent sides in a parallelogram are 20 cm and 25 cm. If its greater height is 23 cm, find its smaller height to the nearest centimeter.

**Q12: **

Given that the area of the parallelogram is 682 cm^{2}, find the area of .

**Q13: **

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

**Q14: **

Given that the area of the parallelogram , find the length of .

**Q15: **

Find the area of the parallelogram .

**Q16: **

If , , and , find the area of the parallelogram and then determine the length of to the nearest hundredth.

- A area of ,
- B area of ,
- C area of ,
- D area of ,
- E area of ,

**Q17: **

Determine the height of a parallelogram whose area is 20 cm^{2}
and base length is 4 cm.

**Q19: **

Daniel is doing a research project on the nation of Trinidad and Tobago. Part of the project is to paint a replica of the nation’s flag. Determine the area of the black part of the flag.

- A
in
^{2} - B
in
^{2} - C
in
^{2} - D
in
^{2}

**Q20: **

Determine the area of the colored part in the shown rectangle that has a parallelogram inside of it.

**Q21: **

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

**Q22: **

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, 172.5 ft
^{2} - Byes, 345 ft
^{2} - Cno, 86.25 ft
^{2} - Dno, 53 ft
^{2} - Eno, 26.5 ft
^{2}

**Q23: **

Each parallelogram-shaped piece in the quilt block shown has height inches and base inches. How many square feet of fabric is required for 16 blocks ?

- A
1,734 ft
^{2} - B
20,808 ft
^{2} - C
867
ft
^{2} - D
ft
^{2} - E
ft
^{2}

**Q24: **

Given that is a parallelogram whose area is
2,643.21 cm^{2}
and ,
find the length of .

**Q25: **

Given that is a parallelogram of area 61.1 cm^{2}, is a rectangle of area 46.06 cm^{2}, and , find the perimeter of the rectangle .