The length of the side of the square is 4.8 cm, and one of the sides of the rectangle is 2.13 cm.

| February 27, 2021 | education

The length of the side of the square is 4.8 cm, and one of the sides of the rectangle is 2.13 cm. Compare the areas of the rectangle and the square if the perimeter of the rectangle is 24.26 cm.

Let’s find the area of a square, it is equal to the square of its side:

4.8 ^ 2 = 23.04 (cm²).

The perimeter of a rectangle is twice the sum of its two adjacent sides. The length of one of the sides and the perimeter are known, we will compose and solve the equation for the other side:

24.26 = 2 * 2.13 + 2x;

12.13 = 2.13 + x;

x = 10.

The area of a rectangle is equal to the product of its two adjacent sides:

10 * 2.13 = 21.3 (cm²).

Let’s compare the areas of a square and a rectangle:

23.04 cm²> 21.3 cm².

Answer: the area of a square with a side of 4.8 cm is larger than the area of a rectangle, one of the sides of which is 2.13 cm and a perimeter of 24.26 cm.



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