Question

what is length of one side of the large square? pythagorean theorem a = a1 + a2 + a3 + a4 + a5 (image of a square with labels a, b) options: ab, (ab)², b − a, a + b

Explanation:

Step1: Analyze the large square's side

Looking at the diagram, the large square's side is composed of a segment of length \( a \) and a segment of length \( b \) placed end - to - end. So we need to find the sum of these two lengths.

Step2: Determine the side length

To find the length of one side of the large square, we add the lengths of the two parts that make up the side. If one part is \( a \) and the other is \( b \), then the length of the side is \( a + b \).

Answer:

\( a + b \) (corresponding to the option with the expression \( a + b \))