Suppose you are given three maps, A, B, and C (each 17.5 inches long by 13.5 inches wide). Map A has a scale of 1:62,500; map B a scale of 1:125,000: and a map C a scale of 1:250,000.
How much area is shown on C compared to that shown on B?
How much area is shown on C compared to that shown on A?
2007-11-01 04:00:59 · 5 answers · asked by >mjd 1 in Science & Mathematics ➔ Earth Sciences & Geology
Firstly area must be expressed in areal units, which are usually distance units squared, in this case, sq in.
Follow these steps:
(1) Find the area of the map in map units (same for all 3 maps)
17.5 sq in x 13.5 sq in = 236.25 sq in
(2) multiply it by the scale for each map
MAP A
x = map area x (ground / map)^2
x = 236.25 in sq x (62500 / 1) ^ 2
x = 236.26 in sq x (3906250000)
x = 922,851,562,500 sq in
(3) Convert to a larger measurement of area, such as square miles.
x = 922,851,562,500 sq in / 4,014,489,600 sq in/sq mi
x = 229.880173 sq mi
(4) Compare the maps to find the difference. You can do this by dividing them and finding a ratio or comparing absolute area.
HINT FOR (4): 62500 is 2x smaller than 125000
125000 is 2x smaller than 250000
I'll let you do Map B and Map C, but just follow that, and substitute the scale in and you will be good to go.
Hope that helps.
EDIT: Why do people randomly give a thumbs down to correct answers?
2007-11-01 04:04:54 · answer #1 · answered by Silverhorn 6 · 0⤊ 1⤋
Think of scale like this... the ratios mean that each unit of measurement uses the same units on both sides of the colon.
For example, 1:62,500 means that one inch on the map represents 62,500 inches on the ground. So, the larger the second number, the larger the area that is being shown. That means that Map C is showing more area than Map B, and the same for Map A.
2007-11-01 04:05:42 · answer #2 · answered by Slappy McStretchNuts 5 · 0⤊ 1⤋
Since all maps in the question are the same size (17.5 inches long by 13.5 inches wide), we don't even have to worry about this. All we have to do is compare the scales to each other.
C compared to B is C's scale divided by B's scale (250,000 divided by 125,000). The answer is C shows 2 times as much area as B.
C compared to A is C's scale divided by A's scale (250,000 divided by 62,500). The anwer is C shows 4 times as much area as A.
2007-11-01 07:53:11 · answer #3 · answered by bdempseyjr 2 · 0⤊ 1⤋
Map C is double that of Map B
Map C is quadruple ( 4 times ) that of Map A
2007-11-04 17:59:50 · answer #4 · answered by ally59man 3 · 0⤊ 1⤋
1.TWICE AS MUCH 2. 4 TIMES AS MUCH.
2007-11-01 06:01:58 · answer #5 · answered by Loren S 7 · 0⤊ 1⤋