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On a scale drawing, a distance of 11 foot is represented by a segment 0.250.25 inch in length. How long must a segment on the scale drawing be to represent a 3636-inch distance?\newlineA. 0.250.25 in.\newlineB. 0.750.75 in.\newlineC. 99 in.\newlineD. 144144 in.

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Q. On a scale drawing, a distance of 11 foot is represented by a segment 0.250.25 inch in length. How long must a segment on the scale drawing be to represent a 3636-inch distance?\newlineA. 0.250.25 in.\newlineB. 0.750.75 in.\newlineC. 99 in.\newlineD. 144144 in.
  1. Identify Scale and Distance: Identify the scale of the drawing and the actual distance that needs to be represented.\newlineThe scale is 11 foot (1212 inches) to 0.250.25 inches on the drawing. The actual distance to represent is 3636 inches.
  2. Calculate Scale Factor: Calculate the scale factor by comparing the drawing unit to the actual unit.\newlineThe scale factor is 0.250.25 inches on the drawing for every 1212 inches in actual distance.
  3. Determine Times Actual Distance Larger: Determine how many times the actual distance (3636 inches) is larger than the unit of actual distance used in the scale (1212 inches).\newlineThis is calculated by dividing 3636 inches by 1212 inches, which equals 33.
  4. Find Length on Drawing: Multiply the scale factor by the result from Step 33 to find the length on the drawing.\newlineMultiply 0.250.25 inches by 33 to get the length on the drawing that represents 3636 inches.\newline0.250.25 inches ×3=0.75\times 3 = 0.75 inches.

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