You are watching: What is the base of a parallelogram

A parallelogram is a 4-sided shape created by 2 pairs of parallel lines. Opposite sides room equal in length and opposite angles are equal in measure. To find the area, multiply 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 of a parallelogram must be perpendicular. However, the lateral political parties of a parallelogram space not perpendicular come the base. Thus, a dotted line is attracted to represent the height. Let\"s look at some instances involving the area that a parallelogram.

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

A = B * H

A = (12 cm) **·** (5 cm)

A = 60 cm2

Example 2: Find the area the this parallelogram v a basic of 7 inches and a elevation of 10 inches.Solution:

A = B * H

A = (7 in) **·** (10 in)

A = 70 in2

Example 3: The area that a parallel is 24 square centimeters and the basic is 4 centimeters. Find the height.Solution:

A = B * H

24 cm2 = (4 cm) **·** H

24 cm2 **÷** (4 cm) = H

H = 6 cm

Summary: Given the base and also height that a parallelogram, we can discover the area. Given the area and also either the base or the height, us can discover the lacking dimension. The formula because that area that a parallelogram is:A = B * H where B is the base, H is the height, and * means multiply.

**Exercises**

Directions: review each inquiry below. Click when in an answer BOX and type in her answer; then click ENTER. Your answers must be given all at once numbers higher than zero. After girlfriend click ENTER, a blog post will show up in the outcomes BOX to show whether her answer is exactly or incorrect. To start over, click CLEAR.

1. | Find the area of a parallelogram through a base of 8 feet and also a elevation of 3 feet. ANSWER BOX: A = ft2 RESULTS BOX: |

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

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

4.See more: How Much Onion Powder Equals 1/2 Cup, How Much Onion Powder Equals 1 Cup Chopped Onions | A parallelogram has an area the 54 square centimeters and a basic of 6 centimeters. Find the height. ANSWER BOX: H = cm RESULTS BOX: |

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