The rectangle and the square have the same perimeters – 24 cm each, the area of which figure is larger

The rectangle and the square have the same perimeters – 24 cm each, the area of which figure is larger and by how many square cm if the length of the rectangle is 2 cm.

1) Find the value of the length of the square.

To do this, we divide its perimeter into 4 parts, since all 4 sides of the square are equal to each other.

24/4 = 6 cm (side of the square).

2) Find the width of the rectangle.

To do this, first we determine the sum of the sides of the figure.

Divide the perimeter by 2.

24/2 = 12 cm.

Since the length of the rectangle is 2 cm, then its width will be:

12 – 2 = 10 cm.

3) Find the areas of the figures.

We multiply the length by the width.

4 * 4 = 16 cm2 (square area).

2 * 10 = 20 cm2 (rectangle area).

20 – 16 = 4 cm2

Answer:

The area of the rectangle is 4 cm2 larger.