Question #26be9

1 Answer
Ernest Z.
Sep 16, 2016

The area is "1.52 km"^21.52 km2.

Explanation:

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

"1 acre" = "43 560 ft"^21 acre=43 560 ft2

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

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