Question

which diagram shows how sergio can cut the parallelogram? area of rectangle = 30 square units less than greater than equal to the area of the rectangle.

Explanation:

To solve the problem about the area of the parallelogram and the rectangle:

Step 1: Recall the area formula for a parallelogram and a rectangle

The area of a parallelogram is given by \( A = base \times height \), and the area of a rectangle is also \( A = length \times width \). When we cut a parallelogram and rearrange it into a rectangle (by moving the triangular part), the base of the parallelogram becomes the length of the rectangle, and the height of the parallelogram becomes the width of the rectangle.

Step 2: Compare the areas

Since the rearrangement (cutting and moving the triangle) does not change the amount of area (we are just re - arranging the shape), the area of the original parallelogram is equal to the area of the rectangle formed from it.

Step1: Recall area formulas

Parallelogram: \( A = base\times height \), Rectangle: \( A = length\times width \).

Step2: Analyze rearrangement

Cutting and rearranging the parallelogram to form a rectangle preserves the area. So the area of the parallelogram is equal to the area of the rectangle.

Answer:

equal to