# 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?

March 31, 2021 | education

| 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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