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? 2 units by 4 units 3 units by 2 units 4 units by 4 units 5 units by 6 units

Answer: Michael is drawing a a rectangle around parallelogram ABCD ,to find the area of the parallelogram.The rectangle will be drawn in such a way so that they touch the parallelogram at its vertices A,B,C,D and lie outside the parallelogram.

Four right triangles are formed at the four corners .The dimensions of the rectangle he needs to draw is 4 units by 4 units so that it touches the four corners of the rectangle.

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AkshayG AkshayG · Answer 2 · 2019-10-20T15:51:19+02:00

The dimensions of the rectangle he should draw is [tex]4{\text{ units}}[/tex] by [tex]4{\text{ units}}.[/tex]

Further explanation:

Given:

The steps are as follows.

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.

Explanation:

The rectangle is a type of quadrilateral that has opposite sides are equal and all the angles are right angle.

The rectangle is formed over parallelogram ABCD in such a way that all the vertices of the parallelogram lies on the rectangle.

All the vertices of the rectangle lies outside the parallelogram.

The area of the rectangle can be obtained as follows.

[tex]\begin{aligned}{\text{Area}&= 4\times4\\&= 16{\text{ unit}}{{\text{s}}^2}\\\end{aligned}[/tex]

The dimensions of the rectangle he should draw is [tex]4{\text{ units}}[/tex] by [tex]4{\text{ units}}.[/tex]

Kindly refer to the image attached.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Rectangles

Keywords: Michael, area of parallelogram, steps, rectangle, right triangle, rectangle around parallelogram, four, right triangle, subtract, corners, dimensions, area of right triangles.