Question

A square with a perimeter of 20 inches is cut into 2 pieces, which are attached by their short ends to make a rectangle. What is the perimeter of this rectangle?

Answer 1

25 inches

Explanation:

If square has a perimeter of 20 inches, the length of each side is:

`s=(20)/(4)\\ s=5\ in`

After cutting the square in half, we are left with two rectangles of 5 in x 2.5 in

Attaching those two smaller rectangles by their short end (2.5 in side), gives us a new rectangle with a height of 2.5 in and a length of 10 in (sum of the 5 in sides in each rectangle). The perimeter of this new rectangle is:

`P=2*2.5+2*10\\P=25\ in`

The perimeter is 25 inches.