Question

on a map, 0.25 inches represents 1 mile. what is the area of a rectangle on the map that is 3.75 inches long and 2.25 inches wide?
○ 135 square miles
○ 24 square miles
○ 270 square miles
○ 48 square miles

Explanation:

Step1: Find scale factor for length

Scale: 0.25 inches = 1 mile → 1 inch = $\frac{1}{0.25}$ = 4 miles

Step2: Convert map length to actual length

Map length = 3.75 inches → Actual length = 3.75 × 4 = 15 miles

Step3: Convert map width to actual width

Map width = 2.25 inches → Actual width = 2.25 × 4 = 9 miles

Step4: Calculate actual area

Area = length × width = 15 × 9 = 135 square miles

Answer:

A. 135 square miles