The perimeter of the rectangle is 36 cm and one side is 3 cm larger than the other. find the ratio of the rectangle’s width to its length.
Let’s solve this problem using the equation.
Let the length of the rectangle be x centimeters, then its width is (x + 3) centimeters. We know that the perimeter of this rectangle is 36 centimeters. Let’s compose and solve the equation:
2 * (x + 3 + x) = 36;
x + 3 + x = 36: 2;
x + 3 + x = 18;
x + x = 18 – 3;
x + x = 15;
x * (1 + 1) = 15;
x * 2 = 15 (in order to find an unknown factor, you need to divide the product by a known factor);
x = 15: 2;
x = 7.5 centimeters – the length of the rectangle;
7.5 + 3 = 10.5 centimeters – the width of the rectangle;
7.5 / 10.5 = 75/105 = 15/21 = 3/7.
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