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The area that a polygon is the variety of square devices inside the polygon. Area is 2-dimensional choose a carpet or one area rug.

You are watching: How to find the missing base of a parallelogram

A parallel is a 4-sided shape created by two pairs of parallel lines. The opposite sides are equal in length and opposite angles space equal in measure. To find the area, main point the basic by the height. The formula is:

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

The base and height the a parallelogram should be perpendicular. However, the lateral sides of a parallelogram room not perpendicular to the base. Thus, a dotted line is attracted to stand for the height. Let"s look at some instances involving the area that a parallelogram.

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Example 1: Find the area that this parallelogram through a basic of 12 centimeters and also a height of 5 centimeters.

Solution:

A = B * H

A = (12 cm) · (5 cm)

A = 60 cm2

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Example 2: Find the area the this parallelogram through a base of 7 inches and also a elevation of 10 inches.

Solution:

A = B * H

A = (7 in) · (10 in)

A = 70 in2

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

Solution:

A = B * H

24 cm2 = (4 cm) · H

24 cm2 ÷ (4 cm) = H

H = 6 cm

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Summary: Given the base and height that a parallelogram, us can find the area. Given the area and either the base or the height, we can discover the missing dimension. The formula for area of a parallelogram is:

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

Exercises

Directions: review each question below. Click when in response BOX and type in your answer; climate click ENTER. Your answers need to be given as whole numbers greater than zero. After girlfriend click ENTER, a message will show up in the outcomes BOX to show whether her answer is correct or incorrect. To start over, click CLEAR.

1.Find the area that a parallelogram v a base of 8 feet and also a height of 3 feet. ANSWER BOX: A =  ft2  

RESULTS BOX: 

2.Find the area of a parallelogram through a basic of 4 meters and a height of 9 meters. ANSWER BOX: A =  m2  

RESULTS BOX: 

3.The area the a parallel is 64 square inches and also the height is 16 inches. Find the base. ANSWER BOX: B =  in  

RESULTS BOX: 

4.

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A parallelogram has actually an area of 54 square centimeters and also a basic of 6 centimeters. Discover the height. ANSWER BOX: H =  cm  

RESULTS BOX: 

5.A parallelogram-shaped garden has an area the 42 square yards and also a height of 6 yards. Find the base. ANSWER BOX: B =  yd  

RESULTS BOX: