Question

part b using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and 5. keep the square 4 and square 5 window open. you will need them to complete the rest of the tasks in this section. what are the side lengths of square 4 and square 5 in terms of a and b? do the two squares have the same area?

Explanation:

Step1: Analyze side - length composition

Side length of square 4 and 5 is \(a + b\).

Step2: Calculate areas

Area of square 4 \(=(a + b)^2=a^{2}+2ab + b^{2}\), area of square 5 \(=(a + b)^2=a^{2}+2ab + b^{2}\).

Answer:

Side - length of square 4 and 5 is \(a + b\). They have the same area.