Question

If two metal wires of length 16 cm are bent to form a square and a ˚le respectively, which plane figure has a larger area? Explain your answer. (Take π = 3.14)

a) Square
b) ˚le
c) Both have the same area
d) Insufficient information to determine

Answer 1

The square has a larger area than the ˚le.

Step-by-step explanation:

To determine which plane figure has a larger area, let's consider the square and the ˚le individually.

The square has a side length of 16 cm, so its area is calculated by multiplying the side length by itself: 16 cm × 16 cm = 256 cm².

The ˚le is formed by bending the wire into the shape of a right angle. It has a base of 16 cm and a height of 16 cm as well. The area of a ˚le can be calculated by multiplying the base by the height and dividing by 2: (16 cm × 16 cm) / 2 = 128 cm².

Therefore, the square has a larger area than the ˚le.