Question

Draw your own rectangle, with an area of 24 square units, on the coordinate plane. Then, identify the vertices of your rectangle. Explain how you know that your rectangle has the correct area.

Answer 1

The vertices of the rectangle are (-4, 3), (2, 3), (-4, -1), (2, -1).

The distance between (-4, 3) and (2, 3) is 6 units.

The distance between (-4, 3) and (-4, -1) is 4 units.

6 x 4 = 24 square units.

Explanation:

Answer 2

First you should remember that the formula for calculating area of a rectangle is;

Area=Length × width

You can decide to have a rectangle with different dimensions provided the area is 24 square unit

For this case, lets choose a rectangle with vertices at (1,0), (7,0),(1,4), (7,4)

After plotting these coordinates, you will notice your rectangle has a length of 6 units and a width of 4 units

A single unit is 1 square unit.When you Count the number of units inside the rectangle formed you realize you have 24 units covered inside

The area of the 24 units will be;

24×1 square unit= 24 square units