Find the area of the square and write the side length

A = 10 blocks

Side Lengths = √10 Blocks

Step-by-step explanation:

There are 4 triangles between the larger and smaller squares with a lengths of 3 and a height of 1.

Step 1:

We know two variables of the three sides of a triangle so we use the Pythagorean theorem first.

a^2 + b^2 = c^2

Plug two shorter sides into a and b. (c is for the longer side)

3^2 + 1^2 = c^2

Squared, we get:

9 + 1 = c^2

10 = c^2

Square root both sides:

Side length c = √10

Step 2:

L x W = A

Plug in you smaller square side lengths:

√10 x √10 = A

A square root times a square root cancel out because they are 1/2 times 1/2. Exponents like the square are in the nominator and roots are in the denominator. So...

A = 10 Blocks

expression #3 is not equivalent. the others are.