A square scarf is folded in half to form a rectangle. if the resulting rectangle has a perimeter of 15 inches, what are the area and perimeter of the square scarf?

Let x = the length of each side of the square.

Therefore the dimensions of the rectangle are x and x/2.

Because the perimeter of the rectangle is 15 inches, therefore

2x + 2 (x/2) = 15

2x + x = 15

3x = 15

x = 5 in.

The perimeter of the square scarf is 4x = 4*3 = 12 in.

The area of the scarf is 3*3 = 9 in²

Answer:

Perimeter = 12 in

Area = 9 in²