Question

Three squares each have sides of length $6$ units and overlap each other as shown below. The points where the sides cross are midpoints. Find the area of the gray figure in square units.

Answer 1

The area of the square is 36 square units

What is a square?

A square is a regular quadrilateral, this explains that it has four equal sides and four equal angles.

It can also be defined as a rectangle with two equal-length adjacent sides.

The properties of a square are:

• All it's Interior angles are equal to 90 degrees
• The four sides of a square are congruent or equal
• Opposite sides of a square are parallel to each other
• Diagonals bisect at 90 degrees
• The two diagonals are equal to each other or congruent

The formula for area of a square is given as;

Area = a ²

Where 'a' is the length of its side

From the information given;

a = 6 units

Now, substitute the values

Area = 6²

Area = 36 units square

Note that this is an overview on the topic as the question seem not to be complete.

The image is attached as part of the complete question

Thus, the area of the square is 36 square units

Learn more about squares here:

brainly.com/question/25092270

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