Answer:
A = 10 blocks
Side Lengths = √10 Blocks
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