The perimeter of the rectangle is 24 cm. Its width is 3 times less than its length. Find the length and width of the rectangle.
May 29, 2021 | education
| The perimeter of a rectangle can be calculated using the formula:
P = 2 * (a + b), where P is the perimeter of the rectangle (P = 24 cm), a is the length of the smaller side (we take the length of the smaller side as x), b is the length of the larger side (b is 3 times more than a, therefore b = 3x).
Let us express and calculate the variable x from the formula:
24 = 2 * (x + 3x).
24/2 = 4x.
x = 12/4.
x = 3 cm (rectangle width).
Rectangle length: 3x = 3 * 3 = 9 cm.
Answer: The length of the rectangle is 9 centimeters, the width of the rectangle is 3 centimeters.
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