On a scale drawing, a distance of 1 foot is represented by a segment 0.25 inch in length. How long must a segment on the scale drawing be to represent a 36-inch distance?A. 0.25 in.B. 0.75 in.C. 9 in.D. 144 in.
Q. On a scale drawing, a distance of 1 foot is represented by a segment 0.25 inch in length. How long must a segment on the scale drawing be to represent a 36-inch distance?A. 0.25 in.B. 0.75 in.C. 9 in.D. 144 in.
Identify Scale and Distance: Identify the scale of the drawing and the actual distance that needs to be represented.The scale is 1 foot (12 inches) to 0.25 inches on the drawing. The actual distance to represent is 36 inches.
Calculate Scale Factor: Calculate the scale factor by comparing the drawing unit to the actual unit.The scale factor is 0.25 inches on the drawing for every 12 inches in actual distance.
Determine Times Actual Distance Larger: Determine how many times the actual distance (36 inches) is larger than the unit of actual distance used in the scale (12 inches).This is calculated by dividing 36 inches by 12 inches, which equals 3.
Find Length on Drawing: Multiply the scale factor by the result from Step 3 to find the length on the drawing.Multiply 0.25 inches by 3 to get the length on the drawing that represents 36 inches.0.25 inches ×3=0.75 inches.