SOLUTION: A rectangular piece of land is 1300 yd x 1500 yd. a) What is the area in square miles? b) What is the area in acres?

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Question 320558: A rectangular piece of land is 1300 yd x 1500 yd.
a) What is the area in square miles?
b) What is the area in acres?

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
A rectangular piece of land is 1300 yd x 1500 yd.
a) What is the area in square miles?

There are 3ft in 1yd
There are 5280ft in 1mi 

Start with the product of the dimensions, each placed over 1:

1300yd%2F1%22%D7%221300yd%2F1

Multiply by unit multiplier 3ft%2F%281yd%29 twice to cancel away the
yd's and bring in ft's: 

1300yd%2F1%22%D7%221300yd%2F1%22%D7%223ft%2F%281yd%29%22%D7%223ft%2F%281yd%29

Multiply by unit multiplier 1mi%2F%285280ft%29 twice to cancel away the
ft's and bring in mi's:

1300yd%2F1%22%D7%221300yd%2F1%22%D7%223ft%2F%281yd%29%22%D7%223ft%2F%281yd%29%22%D7%221mi%2F%285280ft%291mi%2F%285280ft%29

Cancel the yd's

1300cross%28yd%29%2F1%22%D7%221500cross%28yd%29%2F1%22%D7%223ft%2F%281cross%28yd%29%29%22%D7%223ft%2F%281cross%28yd%29%29%22%D7%221mi%2F%285280ft%291mi%2F%285280ft%29

Cancel the ft's

1300cross%28yd%29%2F1%22%D7%221500cross%28yd%29%2F1%22%D7%223cross%28ft%29%2F%281cross%28yd%29%29%22%D7%223cross%28ft%29%2F%281cross%28yd%29%29%22%D7%221mi%2F%285280cross%28ft%29%291mi%2F%285280cross%28ft%29%29

All that's left is

%281300%2A1500%2A3%2A3%2Ami%2Ami%29%2F%285280%2A5280%29

or

%2817550000mi%5E2%29%2F27876400

which reduces to

4875mi%5E2%2F7744

or as a decimal

0.6295196281mi%5E2

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b) What is the area in acres?

There are 640 acres in a square mile.

So we start with

4875mi%5E2%2F7744

Multiply by unit multiplier 640acres%2F%281mi%5E2%29 once to cancel away the
miČ's and bring in acres:

4875mi%5E2%2F7744%22%D7%22640acres%2F%281mi%5E2%29

Cancel the miČ's

4875cross%28mi%5E2%29%2F7744%22%D7%22640acres%2F%281cross%28mi%5E2%29%29

All that's left is

%284875%2A640acres%29%2F7744

or

%283120000acres%29%2F7744

which reduces to

%2848750acres%29%2F121

or as a decimal:

402.892562acres

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[Be sure to round off these numbers as your teacher told you.]

Edwin