Question 831900: A rectangular farm is one hectare in area,its perimeter is 500 meters,find the dimensions of the farm in meters
Answer by JulietG(1812)   (Show Source):
You can put this solution on YOUR website! First, you need to know how many meters in a hectare.
Using http://www.metric-conversions.org, 1 hectare = 10,000 square meters.
Area = width * length
We're given the area as 10,000 and the perimeter as 500.
The Perimeter is 2L + 2W
Think of it as a fence; for this area, you need 500 meters worth of fence to go around it.
If the whole perimeter is 500 and that's 2L + 2W, then 1L + 1W = half of that, or 250.
Now you need to find two numbers that equal 250 when added, and equal 10k when multiplied.
What are the factors of 10,000?
{1,10000}, (2,5000}, {4,2500},(5,2000},{10,1000}
All of those are too big to add to 250. Let's keep going.
{25,400},{40,250}, {50,200}, {100, 100}
Do any of those add to 250? Yes, success!
The farm's dimensions are 50 x 200 meters <<--
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