One of the sides of the rectangle is 2cm larger than the other, and its size is 44cm.

| August 12, 2021 | education

One of the sides of the rectangle is 2cm larger than the other, and its size is 44cm. Find the lengths of the sides of the rectangle.

In order to find the sides of the rectangle, we compose and solve the equation.

Let’s start by looking at the condition of the problem.

It is known that one side of a rectangle is 2 cm larger than the other. It is also known that its perimeter is 44 cm.
Let’s denote by the variable x cm the length of one of the sides, then the length of the second side is (x + 2) cm.
We look for the perimeter of the rectangle by the formula:
P = 2 (a + b);
Substitute the values and solve the equation:
2 (x + x + 2) = 44;
2x + 2 = 44: 2;
2x = 22 – 2;
2x = 20;
x = 20: 2;
x = 10 cm is the length of the smaller side, then 10 + 2 = 12 cm is the length of the second side.



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