Which formula represents the area of a rectangle or parallelogram?

Which formula represents the area of a rectangle or parallelogram?

• A. A = B × H
• B. A = 1/2 b × h
• C. A = b + h
• D. A = 2 × (b + h)

Answer: (A)

The formula representing the area of a rectangle or parallelogram is based on the understanding that area measures the amount of space within the boundaries of a shape. For both rectangles and parallelograms, the area can be calculated by multiplying the base (B or b) by the height (H or h). In the context of a rectangle, the length serves as the base and the width as the height. For parallelograms, even though the sides slant, the height is still perpendicular to the base, thus preserving the relationship where area equals base multiplied by height. This formula succinctly captures the concept that area is a product of the dimensions that define the shape. The other choices represent different measurements: one formula is for the area of a triangle, another simply sums the base and height, and the last one calculates the perimeter rather than the area. Thus, the maintained relationship in the correct formula accurately represents how to determine the area of these specific shapes.

The formula representing the area of a rectangle or parallelogram is based on the understanding that area measures the amount of space within the boundaries of a shape. For both rectangles and parallelograms, the area can be calculated by multiplying the base (B or b) by the height (H or h).

In the context of a rectangle, the length serves as the base and the width as the height. For parallelograms, even though the sides slant, the height is still perpendicular to the base, thus preserving the relationship where area equals base multiplied by height. This formula succinctly captures the concept that area is a product of the dimensions that define the shape.

The other choices represent different measurements: one formula is for the area of a triangle, another simply sums the base and height, and the last one calculates the perimeter rather than the area. Thus, the maintained relationship in the correct formula accurately represents how to determine the area of these specific shapes.