A rope can form the perimeter of an 8 cm square. If we use the same rope to surround a 10 cm long rectangle, what is the area of this rectangle?

60 cm²

Step-by-step explanation:

The side of the square is 8 cm, so the perimeter is:

P = 4s

P = 4 (8 cm)

P = 32 cm

The perimeter of the rectangle is:

P = 2w + 2h

32 cm = 2 (10 cm) + 2h

32 cm = 20 cm + 2h

12 cm = 2h

h = 6 cm

So the area of the rectangle is:

A = wh

A = (10 cm) (6 cm)

A = 60 cm²