Question #26be9

1 Answer
Sep 16, 2016

Answer:

The area is #"1.52 km"^2#.

Explanation:

Let's do it the calculation in steps, using conversion factors that you know.

#"1 acre" = "43 560 ft"^2#

#376 color(red)(cancel(color(black)("acres"))) × ("43 560 ft"^2)/(1 color(red)(cancel(color(black)("acre")))) = 1.638 × 10^7 color(white)(l)"ft"^2#

#1.638 × 10^7color(red)(cancel(color(black)("ft"^2))) × ("12 in"/(1 color(red)(cancel(color(black)("ft")))))^2 = 2.359 × 10^9 color(white)(l)"in"^2#

#2.359 × 10^9 color(red)(cancel(color(black)("in"^2))) × ("2.54 cm"/(1 color(red)(cancel(color(black)("in")))))^2 = 1.522 × 10^10 color(white)(l)"cm"^2#

#1.522 × 10^10 color(red)(cancel(color(black)("cm"^2))) × ("1 m"/(100 color(red)(cancel(color(black)("cm")))))^2 = 1.522 × 10^6color(white)(l) "m"^2#

#1.522 × 10^6 color(red)(cancel(color(black)("m"^2))) × ("1 km"/(1000 color(red)(cancel(color(black)("m")))))^2 = "1.52 km"^2#