One side of the rectangle is 2 cm larger than the other. Find the sides of the rectangle if the area is known to be 120 cm2?

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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