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The expression 4x gives the perimeter of a square with a side length of x units. What is the perimeter of a square with a side length of (5)/(7) units?

The expression 4x 4 x gives the perimeter of a square with a side length of x x units. What is the perimeter of a square with a side length of 57 \frac{5}{7} units?

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Q. The expression 4x 4 x gives the perimeter of a square with a side length of x x units. What is the perimeter of a square with a side length of 57 \frac{5}{7} units?
  1. Square Perimeter Formula: To find the perimeter of a square, we multiply the length of one side by 44, since a square has four equal sides. The formula for the perimeter (PP) of a square is P=4×side lengthP = 4 \times \text{side length}.
  2. Substitute Side Length: Given the side length of the square is (57)(\frac{5}{7}) units, we substitute this value into the formula for the perimeter.\newlineSo, P=4×(57)P = 4 \times (\frac{5}{7}).
  3. Perform Multiplication: Now we perform the multiplication to find the perimeter.\newlineP=4×(57)=(4×5)7=207P = 4 \times \left(\frac{5}{7}\right) = \frac{\left(4 \times 5\right)}{7} = \frac{20}{7}.
  4. Final Answer: We can leave the answer as an improper fraction, or convert it to a mixed number if required. However, since the question does not specify, we will leave it as an improper fraction.\newlineP =207= \frac{20}{7} units.

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