Question

Use the coordinate grid below to draw a square the has one vertex in each quadrant, and has an area of 16 square units. Prove that your figure has the correct area using distance and area calculations.

PLEASE HELP AND NO LINKS!

Answer 1

The area of the cube using the distance formula is 16 square units and each side measure is 4 units.

What is a cube?

It is defined as three-dimensional geometry that has six square faces and eight vertices.

We have a cube shown in the picture.

Area of the cube = 16 square units

Area of cube = side²

Side = √16 = 4 units

Each side of the cube = 4 units.

From the attached figure, we can see each side lies on each quadrant.

Using the distance formula, we can calculate the distance between two

points:

$\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The area of the cube = 4×4 = 16 square units

Thus, the area of the cube using the distance formula is 16 square units and each side measure is 4 units.

Learn more about the cube here:

brainly.com/question/15420947

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