Question

How does the area of the outer square compare with the area of the inner square?

Short answer

The outer square which contains the inner square represents its area as two times of the area of the inner square.

Step-by-step solution

Step 1. Use the triangles that are around the inner square

The area of the triangles that are present at outside and the area of the inner square are the same if all the triangles are combined to form a square.

Step 2. Observe area of triangles and the area of the inner square

The equality of the area of triangles and the inner square represents the area of the outer square. This will help in the determination of the area of the outer square

Step 3. Make the conclusion by using the observation

The area of the outer square will be the addition of the area of the inner square and the area of combined triangles so it can be said that the outer square represents its area as two times of the area of the inner square.