If on a scale drawing 55 feet are represented by 20 inches, then a scale of 1/8 inch represents how many feet?
first your take 55 and divide it by 20 to find out have many feet is equivalent to 1 inch. 2.75 feet is equivalent to 1 inch. then you divide that by 8 to find your 1/8 inch equivalent. 2.75/ 8 is equal to .34 feet per 1/8 inch.
Answer:
\(\frac{11}{32}\) or 0.34375 feet
Step-by-step explanation:
On a scale drawing 55 feet are represented by 20 inches.
∵ 20 inches scale drawing = 55 feet
∴ 1 inch scale drawing = \(\frac{55}{20}\)
= \(\frac{11}{4}\)
∴ \(\frac{1}{8}\) inch scale drawing = \(\frac{1}{8}\) × \(\frac{11}{4}\)
= \(\frac{11}{32}\) or 0.34375 feet
The scale of \(\frac{1}{8}\) inch represents \(\frac{11}{32}\) feet.