It is known from the condition that one side of the rectangle is 2 cm larger than the other. It is also known that the area of a rectangle is 120 cm ^ 2. And we need to find the lengths of the sides of the rectangle.
Let’s denote by x cm the length of the smaller side of the rectangle, then the length of the larger side can be written as 2x cm.
Using the formula to find the area of a rectangle:
S = ab, we get the equation:
x * 2x = 120;
2x ^ 2 = 120;
x ^ 2 = 120: 2;
x ^ 2 = 60;
We extract the square root:
x = 2√15 cm and 2√15 * 2 = 4√15 cm.
Answer: 2√15 and 4√15 cm.
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