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The expression 4x 4x 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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Full solution

Q. The expression 4x 4x 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. Understand formula for perimeter: Understand the formula for the perimeter of a square.\newlineThe perimeter PP of a square is given by the formula P=4×sideP = 4 \times \text{side}, where “side”\text{“side”} is the length of one side of the square.
  2. Plug side length into formula: Plug the given side length into the formula.\newlineGiven the side length x=57x = \frac{5}{7} units, we substitute this value into the formula to calculate the perimeter.\newlineP=4×(57)P = 4 \times \left(\frac{5}{7}\right)
  3. Perform multiplication for perimeter: Perform the multiplication to find the perimeter.\newlineP = 4×(57)=(4×5)/7=2074 \times \left(\frac{5}{7}\right) = \left(4 \times 5\right) / 7 = \frac{20}{7}
  4. Simplify fraction: Simplify the fraction, if necessary.\newlineThe fraction 207\frac{20}{7} is already in its simplest form, so no further simplification is needed.

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