Question

michael is finding the area of parallelogram abcd. to do this, he follows the steps in the table.
step 1 draw a rectangle around parallelogram abcd
step 2 find the area of the rectangle
step 3 find the area of the four right - triangles created in the corners of the rectangle
step 4 subtract the area of the right triangles from the area of the rectangle. to solve the problem using these steps, what are the dimensions of the rectangle he should draw?

Explanation:

Step1: Analyze the parallelogram on grid

To enclose the parallelogram with a rectangle, we need to consider the out - most horizontal and vertical extents of the parallelogram on the grid.

Step2: Determine dimensions

By observing the parallelogram on the grid, we find that the length of the base of the rectangle (horizontal side) and the height of the rectangle (vertical side) are such that the rectangle just encloses the parallelogram. If we assume the grid units, we can see that the rectangle should have dimensions such that it covers all parts of the parallelogram. The correct dimensions of the rectangle that encloses the parallelogram are 4 units by 4 units.

Answer:

4 units by 4 units