Calculating the perimeter of an equilateral triangle - GMAT Quantitative Reasoning

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Question

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The area of an equilateral triangle is . What is the perimeter of ?

Answer

The area is given, which will allow us to calculate the side of the triangle and hence we can also find the perimeter.

The area for an equilateral triangle is given by the formula

, where is the length of the side of the triangle.

Therefore, , where is the area.

Thus , and the perimeter of an equilateral triangle is three times the side, hence, the final answer is .

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Question

Find the perimeter of an equilateral triangle whose side length is .

Answer

To find the perimeter, you must multiply the side length by . Thus,

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Question

Calculate the perimeter of an equilateral triangle whose side length is .

Answer

To solve, simply multiply the side length by . Thus,

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Question

A given equilateral triangle has a side length of . What is the perimeter of the triangle?

Answer

An equilateral triangle with a side length has a perimeter .

Given:

,

.

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Question

A given equilateral triangle has a side length of . What is the perimeter of the triangle?

Answer

An equilateral triangle with a side length has a perimeter .

Given:

,

.

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Question

A given equilateral triangle has a side length of . What is the perimeter of the triangle?

Answer

An equilateral triangle with a side length has a perimeter .

Given:

,

.

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Question

Given the following regarding Triangle .

I)

II) Side is equal to light-years

What is the length of side ?

Answer

The trick to this one is to carefully put together what you are given.

We know that two of our angles are equal to 60 degrees. This means that the last angle is also 60 degrees. This make HFT an equilateral triangle.

Equilateral triangles always have equal sides and equal angles, so our last side has to be 7 light years as well.

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Question

Calculate the perimeter of an equilateral triangle whose side length is .

Answer

The perimeter of an equilateral triangle is:

Thus.

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