Question

Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths. Write your answer as a mixed number.

Base 3 1/2 feet, 3/4 altitude feet.

A)2 1/8 sq. ft.
B)2 5/8 sq. ft.
C)3 3/8 sq. ft.

Answer 1

To find the area of a parallelogram with a base of 3 1/2 feet and an altitude of 3/4 feet, multiply these together to get 21/8, which is expressed as the mixed number 2 5/8 square feet.

Step-by-step explanation:

The area of a parallelogram is calculated by multiplying the base length by the corresponding altitude (or height). For a parallelogram with a base of 3 1/2 feet (which is the same as 3.5 feet) and an altitude of 3/4 feet, we can use the following steps to find the area:

1. Convert the mixed number for the base to an improper fraction: 3 1/2 = 7/2.
2. Multiply the base by the altitude: (7/2) feet × (3/4) feet = 21/8 square feet.
3. Convert the improper fraction to a mixed number for the final area: 21/8 = 2 5/8 square feet.

Therefore, the area of the parallelogram is 2 5/8 square feet.