Estimating Practice Exam

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What are the formulas for calculating the perimeter and area of a parallelogram?

Area = a x b; Perimeter = 2(a + b)
Perimeter = a x b; Area = 2a + 2b
Perimeter = 2a + 2b; Area = a x h
Area = a + b; Perimeter = a x h

The correct answer is: Perimeter = 2a + 2b; Area = a x h

The choice regarding the formulas for calculating the perimeter and area of a parallelogram is accurate because it correctly identifies the relationships between the dimensions of a parallelogram. For the area of a parallelogram, the formula "Area = a x h" is appropriate, where "a" represents the length of the base, and "h" represents the height. The height is perpendicular to the base and is essential for determining the area, which is the space contained within the shape. The formula for the perimeter, "Perimeter = 2a + 2b," also holds true. In this context, "a" refers to the length of one side (the base), while "b" refers to the length of the other side (the height). This formula adds the lengths of all sides of the parallelogram, which are paired since there are opposite sides that are equal in length. Thus, the correct answer provides a clear and accurate representation of the mathematical principles governing the geometric properties of a parallelogram.