AREA OF PARALLELOGRAM WORKSHEET

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Find the area of each parallelogram

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

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Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

Find the base of a parallelogram with an area of 18 square inches and a height of 2 inches.

Solution

Problem 8 :

Find the height of a parallelogram with an area of 63 square yards and a base 9 yards.

Solution

Problem 9 :

Find the height of a parallelogram with an area of 41 square meters and base 8.2 meters.

Solution

Problem 10 :

Find the area of the figure.

area-of-trapezium-wp-q2

Solution

Problem 11 :

The area of the parallelogram-shaped forest bordered by roads is 99,000 square yards. What is the length of the deer trail?

area-of-parallelogram-wpq7.png

Solution

Problem 12 :

The side of an office building in Hamburg, Germany, is in the shape of a parallelogram. The area of the side of the building is about 2150 square meters. What is the length x of the portion of the building that extends over the river?

area-of-parallelogram-wpq8.png

Solution

Problem 13 :

You make a photo prop for a school fair. You cut a 10-inch square out of a parallelogram-shaped piece of wood. What is the area of the photo prop?

area-of-parallelogram-wpq9.png

Solution

Problem 14 :

A galaxy contains a parallelogram-shaped dust field. The dust field has a base of 150 miles. The height is 14% of the base. What is the area of the dust field?

Solution

Answer Key

1) area of parallelogram is 12 units².

2) the area of parallelogram is 18 units².

3) area of parallelogram is 21 ft².

4) area of parallelogram is 63 yd².

5)  the area of parallelogram is 10 cm².

6)  the area of parallelogram is 90 yd².

7) the base of parallelogram is 9 in.

8) the height of parallelogram is 7 yd.

9) height of parallelogram is 5 m.

10) 104 square feet

11) the length of deer trail is 16.6 yards

12)  the missing length of the parallelogram is 47 m.

13) 4508 square inches

14) the required area of dust field is 3150 square field.

Find the base or height of each parallelogram.

Problem 1 :

findthebaseandheigtoflleogramq1

Solution

Problem 2 :

findthebaseandheigtoflleogramq2

Solution

Problem 3 :

findthebaseandheigtoflleogramq3

Solution

Problem 4 :

findthebaseandheigtoflleogramq4

Solution

Problem 5 :

findthebaseandheigtoflleogramq5

Solution

Problem 6 :

findthebaseandheigtoflleogramq6

Solution

Problem 7 :

findthebaseandheigtoflleogramq7

Solution

Problem 8 :

findthebaseandheigtoflleogramq8

Solution

Problem 9 :

findthebaseandheigtoflleogramq9

Solution

Problem 10 :

The following parallelograms are drawn on centimetre-squared paper. Find the area of

area-of-parallelogram-wpq1

Solution

Problem 11 :

A parallelogram has a base of 8 cm and a perpendicular height of 6 cm. Calculate the area of the parallelogram.

Solution

Problem 12 :

The logo below is created by joining two congruent parallelograms. Calculate the area of the logo.

area-of-parallelogram-wpq2.png

Solution

Problem 13 :

Find x

area-of-parallelogram-wpq3.png

Solution

Problem 14 :

A shape is made from 4 congruent parallelograms. The area of the shape is 792 cm².

area-of-parallelogram-wpq4.png

Solution

Problem 15 :

A parking lot is constructed in the shape of a parallelogram. What is the area of the parking lot?

area-of-parallelogram-wpq5.png

Solution

Answer Key

1) the height of a parallelogram is 14 yd.

2) the base of a parallelogram is 8 ft.

3) the height of a parallelogram is 10 in.

4) the base of a parallelogram is 4 ft.

5) the height of a parallelogram is 16 in.

6) the base of a parallelogram is 13 yd.

7) the height of a parallelogram is 11 in

8)  the base of a parallelogram is 13 yd.

9)  the height of a parallelogram is 15 ft.

10) 8 square units.

11) 48 square cm

12)  660 square cm

13)  the value of x is 17.

14)  the required area is 761 cm2

15) 24000 ft2

16) 60 square ft

Find the value of x in each parallelogram.

Problem 1 :

solveunknownvaluineachlleogramq1

Solution

Problem 2 :

solveunknownvaluineachlleogramq2

Solution

Problem 3 :

solveunknownvaluineachlleogramq3

Solution

Problem 4 :

solveunknownvaluineachlleogramq4

Solution

Find the value of x and y in each parallelogram.

Problem 5 :

solveunknownvaluineachlleogramq5

Solution

Problem 6 :

solveunknownvaluineachlleogramq6

Solution

Problem 7 :

solveunknownvaluineachlleogramq7

Solution

Problem 8 :

solveunknownvaluineachlleogramq8

Solution

Answer Key

1) x = 24 in2

2) x = 2 ft

3) 12 yd = x

4) -5 in. = x

5) , x = -3 and y = 5.

6) x = 6 and y = 11.

7) x = 9 and y = 25.

8)  x = -11 and y = 6.

Find the perimeter of each parallelogram.

Problem 1 :

findtheperimeterofeachlleogramq1

Solution

Problem 2 :

findtheperimeterofeachlleogramq2

Solution

Problem 3 :

findtheperimeterofeachlleogramq3

Solution

Problem 4 :

findtheperimeterofeachlleogramq4

Solution

Problem 5 :

findtheperimeterofeachlleogramq5

Solution

Problem 6 :

findtheperimeterofeachlleogramq6

Solution

Problem 7 :

The adjacent sides of a parallelogram measure 13 feet and 1 foot. Determine the perimeter of the parallelogram.

Solution

Problem 8 :

What is the perimeter of the parallelogram whose adjacent sides measure 15 yards and 17 yards?

Solution

Problem 9 :

The base of the parallelogram is x + 3 cm and height is 4 cm. If the area of the parallelogram is 30 cm2. Find the value of x.

Solution

Problem 10 :

The perimeter of the parallelogram is 30 cm. If the height of the parallelogram is 5 cm and the length of adjacent side is 6 cm, find its base.

Solution

Problem 11 :

If the base and height of the parallelogram are 360 inches and 8 yards respectively. Find the area of the parallelogram.

Solution

Problem 12 :

What is the area of parallelogram with base 2.85 mm, height 12.87 mm ?

Solution

Problem 13 :

The area of parallelogram is 62 cm² and its height is 7 cm, what is its base?

Solution

Problem 14 :

The area of rectangle is 87 cm² and its height is 9.2 cm, what is its base?

Solution

Answer Key

1) the perimeter of a parallelogram is 24 in.

2) the perimeter of a parallelogram is 34 yd.

3) the perimeter of a parallelogram is 42 ft.

4) the perimeter of a parallelogram is 52 yd.

5)  the perimeter of a parallelogram is 12 ft.

6) the perimeter of a parallelogram is 48 in.

7) the perimeter of a parallelogram is 28 ft.

8) the perimeter of a parallelogram is 64 yd.

9) the value of x is 4.5 cm.

10) the missing base is 10 cm.

11) 103680 square inches

12) Approximately 36.68 mm2

13) the base of the parallelogram is 8.85 cm.

14) the base of the parallelogram is 9.45 cm.

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