The length of the side of the square is 7.2 cm, and one of the sides of the rectangle is 3.09 cm.

| September 8, 2021 | education

The length of the side of the square is 7.2 cm, and one of the sides of the rectangle is 3.09 cm. Compare the areas of the rectangle and the square if the perimeter of the rectangle is 36.18 cm.

Since all sides of a square are equal, we find its area by multiplying one side by the other.

7.2 * 7.2 = 51.84 cm ^ 2.

The perimeter of a rectangle is the sum of the lengths of all its sides. Since we know one of its sides, we will find the other side of it.

36.18 – 3.09 * 2 = 36.18 – 6.18 = 30 cm.

Since 30 cm is the length of two sides, we find the length of one.

30/2 = 15 cm.

Now let’s find the area of the rectangle by multiplying one side by the other.

3.09 * 15 = 46.35 cm ^ 2.

51.84> 46.35.

Answer: The area of the square is larger than the area of the rectangle.



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