According to the condition of this task, we will compose an equation using the formula to determine the perimeter of the rectangle, and find its sides.
P = 2a + 2b.
We know that the length is 5 times greater than the width, and the sum of all sides = 55.2 mm.
2 * 5x + 2x = 55.2.
Let’s perform actions with the coefficients of the variable on the left side of the equation:
12x = 55.2.
To find the second factor, divide the product by the first:
x = 55.2: 12 = 4.6.
Therefore, width = 4.6 mm, length = 5 * 4.6 = 23 mm.
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