One side of the rectangle is 12 cm and the other is 1/3 of the first.

| July 24, 2021 | education

One side of the rectangle is 12 cm and the other is 1/3 of the first. The area of the square is 1/3 of the area of this rectangle. Find the perimeter of the square.

We calculate the second side of the rectangle by multiplying the value of the first by 1/3.

12 * 1/3 = 4 cm – the width of the rectangle.

Knowing both sides, we calculate the area of ​​the rectangle by multiplying them together.

12 * 4 = 48 cm ^ 2 – the area of ​​the rectangle.

Since the area of ​​the square is one third of the rectangle, we multiply the value of the second by 1/3.

48 * 1/3 = 16 cm ^ 2 – the area of ​​the square.

Since the square has all equal sides, then from the area we find one side of it.

16 = 4 * 4.

4 cm – side of the square.

Calculate the perimeter perimeter of the square by multiplying one side by the number of sides 4.

4 * 4 = 16 cm – the perimeter of the square.

Answer: 16 cm.



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