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Kris is wrapping Christmas lights around the railing that runs around three sides of his square porch If one side of his porch is 1212 feet long, and each strand of his Christmes lights will wrap around a 7070-inch length of the railing, what is the minimum number of strands Kris needs to completely wrap the porch railing?\newlineA) 66\newlineB) 77\newlineC) 88\newlineD) 99

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Q. Kris is wrapping Christmas lights around the railing that runs around three sides of his square porch If one side of his porch is 1212 feet long, and each strand of his Christmes lights will wrap around a 7070-inch length of the railing, what is the minimum number of strands Kris needs to completely wrap the porch railing?\newlineA) 66\newlineB) 77\newlineC) 88\newlineD) 99
  1. Calculate Total Length: First, calculate the total length of the railing that runs around three sides of the square porch. Since one side of the porch is 1212 feet long, the total length in feet is 33 times 1212 feet.\newlineTotal length in feet = 3×123 \times 12 feet
  2. Convert to Inches: Convert the total length from feet to inches because the length of each strand of Christmas lights is given in inches. There are 1212 inches in a foot.\newlineTotal length in inches = Total length in feet ×12\times 12 inches/foot\newlineTotal length in inches = 3×123 \times 12 feet ×12\times 12 inches/foot
  3. Perform Calculation: Perform the calculation to find the total length in inches.\newlineTotal length in inches = 3×12×123 \times 12 \times 12\newlineTotal length in inches = 432432 inches
  4. Find Number of Strands: Now, divide the total length of the railing in inches by the length that each strand of Christmas lights can cover to find the number of strands needed.\newlineNumber of strands = Total length in inches / Length per strand\newlineNumber of strands = 432 inches/70 inches/strand432 \text{ inches} / 70 \text{ inches/strand}
  5. Round Up to Nearest: Perform the division to find the number of strands needed. Since we cannot have a fraction of a strand, we need to round up to the nearest whole number.\newlineNumber of strands =43270= \frac{432}{70}\newlineNumber of strands ≈6.17\approx 6.17
  6. Use 77 Strands: Since we cannot use a fraction of a strand, Kris needs to use 77 strands to completely wrap the porch railing.

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