Question

A contractor is given a scale drawing of a rectangular patio. The scale from the patio to the drawing is 4 ft to 1 in. What is the actual length and width of the patio?

Answer 1

To determine the actual size of a patio from a scale drawing with a scale of 4 ft to 1 in, multiply the measurements on the drawing by the scale factor of 4. This will give you the dimensions in feet.

Step-by-step explanation:

To find the actual length and width of a patio from a scale drawing, you need to convert the measurements from the drawing to real-world measurements using the given scale. In this case, the scale is that 1 inch on the drawing represents 4 feet in reality. To find the actual dimensions, you would multiply the length and width measurements in inches on the drawing by the scale factor of 4 to get the dimensions in feet.

For example, if a patio measures 5 inches by 3 inches on the scale drawing, the actual dimensions of the patio are calculated as follows:

• Actual length: 5 inches × 4 feet/inch = 20 feet
• Actual width: 3 inches × 4 feet/inch = 12 feet

Without the specific measurements from the drawing, we cannot provide the exact dimensions of the patio, but this method is how you would calculate it once you have those measurements.