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?

4 units by 4 units

3 units by 2 units

5 units by 6 units

Explanation:

Step1: Analyze the horizontal length

Count the number of units from the left - most point to the right - most point of the parallelogram (and the rectangle that will enclose it) on the \(x\) - axis. The horizontal length is \(5\) units.

Step2: Analyze the vertical length

Count the number of units from the bottom - most point to the top - most point of the parallelogram (and the rectangle that will enclose it) on the \(y\) - axis. The vertical length is \(6\) units.

Answer:

5 units by 6 units