Originally Posted by

**benny92000** Can someone correct me?

Problem: The diagonal of a square quilt is 4 times the square root of 2. What is the **area of the quilt** in square feet?

The answer is 4. **<--- That is the side-length and not the area**

My book suggests that we use the property of a 45 45 90 triangle to solve this. I understand that method. However, I initially attempted to solve it by using Pythagorean theorem with the diagonal being the hypotenuse. I came up with 4 x 2^(1/2) = 2 x (a^2) I proceeded to divide the left side by 2, and I did not come up with 4 for the answer. Why is this?