The length of the side of the rectangle is 14cm, the length of the side of the square is 10cm.

The length of the side of the rectangle is 14cm, the length of the side of the square is 10cm. What are their areas, if it is known that their perimeter is the same?

Find the perimeter of the square.

To do this, multiply the length of its side by 4.

We get:

4 * 10 = 40 cm.

Determine the sum of the sides of the rectangle.

We divide the perimeter of the square by 2, since the perimeters of the figures are the same.

40/2 = 20 cm.

Find the width of the rectangle.

We subtract the known length of the rectangle from the resulting sum of the sides.

Will:

20 – 14 = 6 cm.

Find the area of a square and a rectangle.

To do this, we multiply the sides by each other.

10 * 10 = 100 cm2 (square area).

14 * 6 = 84 cm2 (rectangle area).

Answer:

100 and 84 cm2