The perimeter of the rectangle is 58 cm. The length is 5 cm longer than the width. What are the sides.
February 21, 2021 | education
| According to the condition of the task, we will compose an equation, where we take the smallest side of the rectangle for x, the length for x + 5, and the sum of all sides = 58 cm.
The perimeter is calculated using the formula:
P = 2a + 2b. Substitute the values and get:
2 * (x + 5) + 2x = 58. Let’s open the brackets:
2x + 10 + 2x = 58. Let’s perform actions with the coefficients of the variable on the left side of the equation, and transfer the number to the right, changing the sign to the opposite:
4x = 58 – 40 = 18. To find the second factor, divide the product by the first:
x = 18: 4 = 4.5.
Therefore, width = 4.5 cm and length = 4.5 + 5 = 9.5 cm.
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