The lengths of the sides of the rectangle are 16 cm and 4 cm, what is the perimeter

| September 26, 2021 | education

The lengths of the sides of the rectangle are 16 cm and 4 cm, what is the perimeter of the square if its area is equal to the area of the rectangle.

First of all, we calculate the area of ​​the rectangle, which is equal to the product of its two sides. By the condition of the problem, we know the lengths of the sides of the rectangle, equal to 16 cm and 4 cm:

S = 16 * 4 = 64 (cm²).

By the condition of the problem, the area of ​​the rectangle is equal to the area of ​​the square, respectively, the area of ​​the square will also be equal to 64 cm².

The length of the side of a square with an area of ​​64 cm² is 8 cm (according to the formula for finding the area of ​​a square, in order to find the length of a side of a square, you need to extract the square root of the area value)

Thus, we calculate the perimeter of a square with a side of 8 cm, multiplying the length of the side of the square by 4. So, we get the expression:

8 * 4 = 32 (cm).

Answer: the perimeter of the square is 32 cm.



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