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In this lesson, we will learn how to calculate the area of a parallelogram and how to solve word problems requiring the area of parallelogram-shaped figures.

Q1:

Given that π΄ π΅ πΆ π· is a parallelogram and πΈ πΉ = 6 c m , find its area.

Q2:

Find the area of the parallelogram π΄ π΅ πΆ π· where π΄ π΅ = 8 . 3 c m .

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

Q6:

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

Q7:

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

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.

Q9:

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

Q10:

Given that π΄ π΅ πΆ π· is a parallelogram and π· πΈ = 1 3 c m , find the length of π· πΉ .

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 centimetre.

Q12:

Given that the area of the parallelogram π π π πΏ is 682 cm^{2}, find the area of β³ π πΏ π .

Q13:

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

Q14:

Given that the area of the parallelogram π π π πΏ = 6 1 0 . 9 c m ο¨ , find the length of π πΏ .

Q15:

Find the area of the parallelogram π΄ π΅ πΆ π· .

Q16:

If πΆ π΅ = 2 3 c m , π΄ πΈ = 1 6 c m , and π΄ πΉ = 2 0 c m , find the area of the parallelogram πΆ π΅ π΄ π· and then determine the length of πΆ π· to the nearest hundredth.

Q17:

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

Q18:

Find the area of the parallelogram , given that cm.

Q19:

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

Q20:

Determine the area of the coloured 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.

Q23:

Each parallelogram-shaped piece in the quilt block shown has height 1 2 3 4 inches and base 2 5 1 2 inches. How many square feet of fabric is required for 16 blocks ?

Q24:

Given that π΄ π΅ πΆ π· is a parallelogram whose area is 2,643.21 cm^{2} and π΅ πΆ = 6 8 . 3 c m , find the length of π΄ πΈ .

Q25:

Given that π΄ π΅ πΆ π· is a parallelogram of area 61.1 cm^{2}, π π΅ π π· is a rectangle of area 46.06 cm^{2}, and π΄ π = 1 . 6 c m , find the perimeter of the rectangle π π΅ π π· .

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