Area of a Parallelogram

How to Notice Area of a Parallelogram

Area of a Parallelogram

parallelogramThe area of a polygon is the number of square units inside the polygon. Area is two-dimensional like a carpeting or an expanse rug.

A parallelogram is a 4-sided shape formed by two pairs of parallel lines. Opposite sides are equal in length and opposite angles are equal in mensurate. To find the surface area, multiply the base by the height. The formula is:

A = B * H where B is the base, H is the height, and * ways multiply.

The base and tiptop of a parallelogram must be perpendicular. However, the lateral sides of a parallelogram are not perpendicular to the base. Thus, a dotted line is drawn to correspond the height. Let's await at some examples involving the area of a parallelogram.


parallelogramCase one: Detect the area of this parallelogram with a base of 12 centimeters and a tiptop of 5 centimeters.

Solution:

A = B * H

A = (12 cm)· (5 cm)

A = 60 cm2


parallelogramExample ii: Discover the area of this parallelogram with a base of 7 inches and a height of 10 inches.

Solution:

A = B * H

A = (7 in)· (10 in)

A = 70 in2


parallelogramExample 3: The area of a parallelogram is 24 square centimeters and the base is 4 centimeters. Discover the height.

Solution:

A = B * H

24 cmii = (iv cm)· H

24 cm2÷ (four cm) = H

H = half-dozen cm


parallelogramSummary: Given the base of operations and top of a parallelogram, we can find the area. Given the expanse and either the base of operations or the pinnacle, we can find the missing dimension. The formula for area of a parallelogram is:

A = B * H where B is the base of operations, H is the height, and * means multiply.


Exercises

Directions: Read each question below. Click in one case in an Answer BOX and type in your answer; then click ENTER. Your answers should be given equally whole numbers greater than zero. After you click ENTER, a bulletin will appear in the RESULTS BOX to indicate whether your reply is correct or wrong. To start over, click Clear.

1. Find the surface area of a parallelogram with a base of operations of 8 feet and a height of 3 feet.
two. Detect the area of a parallelogram with a base of 4 meters and a summit of nine meters.
three. The area of a parallelogram is 64 square inches and the height is 16 inches. Find the base.
four. A parallelogram has an area of 54 foursquare centimeters and a base of 6 centimeters. Find the acme.
five. A parallelogram-shaped garden has an area of 42 square yards and a height of 6 yards. Find the base.

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