The perimeter of the rectangle is 150 dm. Its length is 150 cm greater than the width.

The perimeter of the rectangle is 150 dm. Its length is 150 cm greater than the width. Calculate the lengths of the sides of the rectangle.

Let’s solve the problem using the equation.
1) Let the width of the rectangle be x centimeters, then the length is (x + 150) centimeters. We know that the perimeter of the rectangle is 150 decimetres (1,500 centimeters). Let’s make the equation:
x + x + x + 150 + x + 150 = 1,500;
x + x + x + x + 300 = 1,500;
x * 4 + 300 = 1,500;
x * 4 = 1 500 – 300;
x * 4 = 1200;
x = 1200: 4;
x = 300 centimeters = 30 decimeters – the width of the rectangle;
2) 300 + 150 = 450 centimeters = 45 decimeters – the length of the rectangle.
Answer: 30 decimeters; 30 decimeters; 45 decimeters; 45 decimeters.