Find the perimeter of the rectangle if its S = 98 cm2, and one side is twice as large as the other.

1. Let us denote one side of the rectangle as a cm.

2. By the condition of the problem, the length of the rectangle is 2 times its width, so the second side is equal to 2 * a cm.

3. Let’s make an equation if it is known that S of the rectangle is 98 cm ^ 2.

S = a * 2 a = 2 * a ^ 2 = 98 cm ^ 2;

a ^ 2 = 98: 2 = 49 cm ^ 2;

a = 49 ^ 1/2 = 7 cm.

The second side of the rectangle is 2 * a = 2 * 7 cm = 14 cm.

4. Calculate the perimeter P of the rectangle.

P = 2 * a + 2 * 2 * a = 14 cm + 28 cm = 42 cm.

Answer: The perimeter of the rectangle is 42 centimeters.



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