The length of one side of the rectangle is 9/20 m longer than the other. What is the smaller side
August 3, 2021 | education
| The length of one side of the rectangle is 9/20 m longer than the other. What is the smaller side of a rectangle if its perimeter is 12.1 m?
Let the length of the side be x centimeters, then its width is (x + 9/20) centimeters. We know that the perimeter of the rectangle is 12.1 meters. Let’s make the equation:
2 * (x + x + 9/20) = 12.1;
x + x + 9/20 = 12.1: 2;
x + x + 9/20 = 6.05;
2 * x + 9/20 = 6.05;
2 * x + 0.45 = 6.05;
2 * x = 6.05 – 0.45;
2 * x = 5.6;
x = 5.6: 2;
x = 2.8 meters – the length of the longer side of the rectangle;
2.8 * 0.45 = 1.26 meters – the length of the smaller side of the rectangle.
Answer: 1.26 meters.
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