Join Teacherbot Today!

Let’s assume the width of the rectangle is x cm. According to the given information, the length of the rectangle is 3 times the width, so the length is 3x cm. The perimeter of a rectangle is given by the formula: P = 2(length + width) Substituting the given values, we have: 72 = 2(3x + x) Simplifying the equation, we get: 72 = 2(4x) Dividing both sides by 2, we have: 36 = 4x Dividing both sides by 4, we get: 9 = x So, the width of the rectangle is 9 cm. The length of the rectangle is 3 times the width, which is 3 * 9 = 27 cm. The area of a rectangle is given by the formula: A = length * width Substituting the values, we have: A = 27 * 9 = 243 cm² Therefore, the area of the rectangle is 243 cm².