Final answer:
Nathaniel should consider the scale of the drawing as it allows accurate translation of scale measurements to real-life dimensions. Properly understanding this aspect will enable him to estimate materials and costs for improving his patio floor effectively. Option c.
Step-by-step explanation:
Nathaniel wants to estimate the cost of improving his backyard patio floor based on a scale drawing. The important factor he should consider is c. The scale of the drawing. This is because the scale helps to accurately translate the measurements from the drawing to real-life dimensions, ensuring an accurate estimation of materials and costs. For example, with a scale factor of 1/200, the actual dimensions and area of the patio can be calculated by scaling up the measurements from the drawing.
For example, if the length of the garden on the drawing measures 4 yards, to find out how many feet that is, you would multiply by 3 (as there are 3 feet in a yard), resulting in 12 feet. If the width measures 4 yards, to find out the measurement in inches, you would multiply by 36 (since there are 36 inches in a yard), thus obtaining 144 inches. Understanding these conversions is crucial when working with scale drawings for cost estimations and planning.