Question

A middle school campus is shaped like a rectangle with a width of 1/4 mile and a length of 1/2 mile. A map of the campus has a width of 1/2 foot and a length of 1 foot. What is the ratio of the area in square miles of the campus to the area in square feet of the map? A) 1:4 B) 1:2 C) 2:1 D) 4:1

Answer 1

Answer:

A) 1:4

Step-by-step explanation:

#We first calculate the campus' area:

$a=lw\\\\=\frac{1}{4}\times \frac{1}{2}\\=0.125 \ mi^2$

#We then calculate the campus' map area in square ft:

$A=lw\\\\=0.5 \times 1\\\\=0.5 ft^2$

Ratio is a comparison between two dimensions:

$Ratio=\frac{0.125}{0.5}\\\\=0.25\\\\=\frac{1}{4}\\\\=1:4$

Hence, the ratio of the area in square miles of the campus to the area in square feet of the map is 1:4