One inch represents \(20\) miles on Map \(K\) and one inch represents \(30\) miles on Map \(L.\) An area of \(3\) square

M7MBA wrote: ↑

Sun Feb 21, 2021 12:02 am

One inch represents \(20\) miles on Map \(K\) and one inch represents \(30\) miles on Map \(L.\) An area of \(3\) square inches represents how many more square miles on Map \(L\) than on Map \(K?\)

A. 30
B. 400
C. 500
D. 900
E. 1,500

Answer: E

Source: Official Guide

An area of 3 square inches represents how many more square miles on Map L than on Map K ?
If we want to find an area of 3 square inches, we can make things easy on ourselves by finding the area of a rectangle measuring 1 inch by 3 inches

One inch represents 20 miles on Map K
So, 1 inch = 20 miles on Map K
And 3 inches = 60 miles on Map K
Area = (20 miles)(60 miles) = 1200 square miles

One inch represents 30 miles on Map L
So, 1 inch = 30 miles on Map L
And 3 inches = 90 miles on Map L
Area = (30 miles)(90 miles) = 2700 square miles


DIFFERENCE in areas = 2700 - 1200 = 1500

Answer: E

Cheers,
Brent

M7MBA wrote: ↑

Sun Feb 21, 2021 12:02 am

One inch represents \(20\) miles on Map \(K\) and one inch represents \(30\) miles on Map \(L.\) An area of \(3\) square inches represents how many more square miles on Map \(L\) than on Map \(K?\)

A. 30
B. 400
C. 500
D. 900
E. 1,500

Answer: E

Source: Official Guide

Solution:

On Map K, since 1 inch = 20 miles, then 1 in^2 = 400 mi^2, and 3 in^2 = 1200 mi^2.

On Map L, since 1 inch = 30 miles, then 1 in^2 = 900 mi^2, and 3 in^2 = 2700 mi^2.

Thus, the difference is 2700 - 1200 = 1500 mi^2.

Answer: E