# The lengths of the sides of the rectangle are 3 to 6, and the perimeter is 54cm. Find the area of the rectangle.

October 8, 2021 | education

| Let’s solve the problem using the equation.

1) Let one part be x centimeters. Then one of the sides is 3 * x centimeters, and the other side is 6 * x centimeters. We know that the perimeter of the rectangle is 54 centimeters. Let’s make the equation:

2 * (3 * x + 6 * x) = 54;

3 * x + 6 * x = 54: 2;

3 * x + 6 * x = 27;

x * (3 + 6) = 27;

x * 9 = 27;

x = 27: 9;

x = 3 centimeters;

2) 3 * 3 = 9 centimeters – the length of the first side;

3) 3 * 6 = 18 centimeters – the length of the second side.

Answer: 9 and 18 centimeters.

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