. In an Atlas, a map occupies th of a page with dimen- 5 sions 25 cm and 30 cm, respectively. If the real area of the map is 194,400 m², then the scale to which the map is drawn is
Answers & Comments
yousif3107
Let x be the scale to which the map is drawn. We know that the map occupies 1/5 of a page, so the area of the map on the page is: 25 cm * 30 cm * (1/5) = 150 cm²
We also know that the real area of the map is 194,400 m², so: 194,400 m² = (150 cm²) * (x cm/m)²
where x cm/m is the conversion factor from centimeters to meters. Simplifying the equation, we get: (x cm/m)² = (194,400 m²) / (150 cm²) = 1296 x cm/m = √1296 = 36
Therefore, the scale to which the map is drawn is 1 cm : 36 m, which corresponds to option (E) None of the above. None of the answer choices provided matches the result we obtained.
Answers & Comments
25 cm * 30 cm * (1/5) = 150 cm²
We also know that the real area of the map is 194,400 m², so:
194,400 m² = (150 cm²) * (x cm/m)²
where x cm/m is the conversion factor from centimeters to meters. Simplifying the equation, we get:
(x cm/m)² = (194,400 m²) / (150 cm²) = 1296
x cm/m = √1296 = 36
Therefore, the scale to which the map is drawn is 1 cm : 36 m, which corresponds to option (E) None of the above. None of the answer choices provided matches the result we obtained.