An architect makes a blueprint with a scale of 1/4 in equals 2 ft, which will be the dimensions of the drawing of the warehouse room measuring 60 ft by 100 ft

Answer 1

To determine the dimensions of the blueprint for a warehouse room measuring 60 feet by 100 feet using the given scale of 1/4 inch equals 2 feet, we can follow these steps:

1. Convert the actual dimensions of the warehouse to the blueprint dimensions using the scale:

   • The scale 1/4 inch = 2 feet can be used to find out how many inches represent the actual dimensions of the warehouse.

2. Calculate the width (60 ft):

   • First, we need to determine how many 2 ft units are in 60 ft: \[ \text{Number of 2 ft units} = \frac{60 \text{ ft}}{2 \text{ ft/unit}} = 30 \text{ units} \]
   • Now, convert the 30 units to inches using the scale (since each unit corresponds to 1/4 inch): \[ \text{Blueprint width} = 30 \text{ units} \times \frac{1}{4} \text{ inch/unit} = 7.5 \text{ inches} \]

3. Calculate the length (100 ft):

   • Now, find out how many 2 ft units are in 100 ft: \[ \text{Number of 2 ft units} = \frac{100 \text{ ft}}{2 \text{ ft/unit}} = 50 \text{ units} \]
   • Convert the 50 units to inches: \[ \text{Blueprint length} = 50 \text{ units} \times \frac{1}{4} \text{ inch/unit} = 12.5 \text{ inches} \]

4. Final dimensions on the blueprint:

   • The dimensions of the blueprint for the warehouse room will be:
     • Width: 7.5 inches
     • Length: 12.5 inches

Therefore, the drawing of the warehouse room will measure 7.5 inches by 12.5 inches on the blueprint.