# How do you find the area of an equilateral triangle if the perimeter is 36ft?

Area

Area

Being able to visualise a problem quite often helps so it is good practice to do a quick sketch:

The perimeter is 36. There are three equal length sides so one side is

Half one side is

By the property of similar triangles

Area is

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[ \text{{Area of equilateral triangle}} = \frac{{\sqrt{3}}}{4} \times \left(\frac{{\text{{Perimeter}}}}{3}\right)^2 ]

Substitute the given perimeter value: [ \text{{Area}} = \frac{{\sqrt{3}}}{4} \times \left(\frac{{36}}{3}\right)^2 ]

Calculate the result.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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