Perimeter of Original Rectangle

A rectangle is cut in half to create two squares that each has an area of 25. What is the perimeter of the original rectangle?

Let me see.

Square A

Let s = side of square

Area = s^2

25 = s^2

sqrt{25} = sqrt{s^2}

5 = s

The original rectangle is cut in half. This tells me that Square B also has a side that is 5.

Perimeter = 2(5 + 5) + 2(5)

P = 2(10) + 10

P = 20 + 10

P = 30

You say?

 

perfect

 

Thanks. I don't think it's terribly difficult. Can you check my thread here entitled Find Area of Blue Shaded Region?