a square plot of land has an area of 100m what is the perimeter of the land
how many equal sides does a square have?
4
how many \(\bf \text{equal sides}\) does a square have?
and yes, it has 4 total
so then 400????
?
well.... it's a SQUARE.... so... how many sides that are EQUAL to each other, does a SQUARE have? 2 sides? maybe?
You are given the *area* of a square... that means you can find the length of one side. if you know the length of one side, you can find the perimeter.
Do you know the formula for the area of a square ?
Yeah a= lw
true, but l and w are the same for a square.
how about Area= L*L (L is the length of any side) 100 = L^2 can you find L ?
Do you know about square roots ?
it doesnt give me a little picture it just is a word problem.
We don't need a picture. L^2 = 100 can you find L using square root of both sides ?
|dw:1386279599474:dw| \(\bf Area = x^2\qquad Area = 100m\\ \quad \\ 100=x^2\implies x=?\)
\[area = 100m ^{2}\] Thus the side(α) equals:\[\alpha=\sqrt{100}m=10m\] and the perimeter equals: \[4\alpha=4*10=40m\]
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