Area of Parallelograms

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Show your work for each problem.

1.
What is the formula for the area of a parallelogram?
1. a)
2. b)
3. c)
4. d)
2.
Find the area of a parallelogram with base 6 cm and height 4 cm.
3.
Which measurement is the height in a parallelogram?
1. a)The diagonal
2. b)The perpendicular distance from base to opposite side
3. c)The length of the slanted side
4. d)The perimeter
4.
A parallelogram has base 10 m and height 3 m. What is its area?
5.
Find the area of a parallelogram with base 7 cm and height 5 cm.
6.
A parallelogram has sides of 12 cm and 8 cm. The perpendicular height to the 12 cm base is 6 cm. What is the area?
1. a)72 cm²
2. b)48 cm²
3. c)96 cm²
4. d)20 cm²
7.
A parallelogram has an area of 56 cm² and a base of 8 cm. What is the height?
8.
Find the base of a parallelogram with area 63 m² and height 9 m.
9.
A parallelogram has base 15 cm and height 8 cm. What is its area?
10.
A parallelogram-shaped tile has base 25 cm and height 20 cm. If you need to cover 1 m², how many tiles do you need?
11.
If you double the height of a parallelogram, what happens to the area?
1. a)The area doubles
2. b)The area is halved
3. c)The area quadruples
4. d)The area stays the same
12.
A parallelogram has base 12.5 cm and height 6.4 cm. What is its area?
13.
Two parallelograms have the same area. One has base 16 cm and height 9 cm. The other has base 12 cm. What is the height of the second parallelogram?
14.
A parallelogram has base 20 m and one side of 15 m. If the perpendicular height to the base is 12 m, what is the area?
1. a)300 m²
2. b)35 m²
3. c)240 m²
4. d)180 m²
15.
A garden in the shape of a parallelogram has an area of 180 m². If the base is 15 m, what is the height? Then, if fencing costs 8 euros per meter and you need to fence two sides of height, how much does the fencing cost?
16.
A parallelogram-shaped field has an area of 2400 m². If a farmer wants to divide it into 6 equal parallelogram plots, what is the area of each plot?
17.
True or False: A rectangle is a special type of parallelogram.
1. a)True
2. b)Only if it's a square
3. c)False
4. d)Only sometimes
18.
A sail on a boat is shaped like a parallelogram. The base is 3.5 m and the height is 4 m. What is the sail's area?