GMAT Math : Calculating the perimeter of an equilateral triangle

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Example Question #1 : Calculating The Perimeter Of An Equilateral Triangle

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

Possible Answers:

$3\sqrt{3}$

$3\sqrt{\frac{28}{\sqrt{3}}}$

$3\sqrt{\frac{16}{\sqrt{3}}}$

$\frac{28}{\sqrt{3}}$

Correct answer:

$3\sqrt{\frac{28}{\sqrt{3}}}$

Explanation:

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

$\frac{s^{2}\sqrt{3}}{4}$ , where is the length of the side of the triangle.

Therefore, $s=\sqrt{\frac{4a}{\sqrt{3}}}$ , where is the area.

Thus $s=\sqrt{\frac{28}{\sqrt{3}}}$ , and the perimeter of an equilateral triangle is three times the side, hence, the final answer is $3\sqrt{\frac{28}{\sqrt{3}}}$ .

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Example Question #2 : Calculating The Perimeter Of An Equilateral Triangle

A given equilateral triangle has a side length of 9cm . What is the perimeter of the triangle?

Possible Answers:

27cm

45cm

Not enough information provided.

36cm

18cm

Correct answer:

27cm

Explanation:

An equilateral triangle with a side length has a perimeter P=3x .

Given:

x=9cm ,

P=3(9cm)=27cm .

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Example Question #312 : Geometry

A given equilateral triangle has a side length of 17cm . What is the perimeter of the triangle?

Possible Answers:

8.5cm

34cm

68cm

85cm

51cm

Correct answer:

51cm

Explanation:

An equilateral triangle with a side length has a perimeter P=3x .

Given:

x=17cm ,

P=3(17cm)=51cm .

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Example Question #2 : Calculating The Perimeter Of An Equilateral Triangle

A given equilateral triangle has a side length of 21cm . What is the perimeter of the triangle?

Possible Answers:

84cm

42cm

Not enough information provided.

10.5cm

63cm

Correct answer:

63cm

Explanation:

An equilateral triangle with a side length has a perimeter P=3x .

Given:

x=21cm ,

P=3(21cm)=63cm .

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Example Question #3 : Calculating The Perimeter Of An Equilateral Triangle

Given the following regarding Triangle HFT .

I) $\small \angle H=\angle F=60^{\circ}$

II) Side is equal to light-years

What is the length of side ?

Possible Answers:

$\sqrt{7}$ light years

light years

Correct answer:

light years

Explanation:

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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Example Question #3 : Calculating The Perimeter Of An Equilateral Triangle

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

Possible Answers:

125

Correct answer:

Explanation:

The perimeter of an equilateral triangle is:

Thus.

3*5=15

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Example Question #4 : Calculating The Perimeter Of An Equilateral Triangle

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

Possible Answers:

Correct answer:

Explanation:

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

P=3s=3*7=21

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Example Question #5 : Calculating The Perimeter Of An Equilateral Triangle

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

Possible Answers:

Correct answer:

Explanation:

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

$P=3\cdot 3=9$

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GMAT Math : Calculating the perimeter of an equilateral triangle

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

Example Questions

Example Question #1 : Calculating The Perimeter Of An Equilateral Triangle

Example Question #2 : Calculating The Perimeter Of An Equilateral Triangle

Example Question #312 : Geometry

Example Question #2 : Calculating The Perimeter Of An Equilateral Triangle

Example Question #3 : Calculating The Perimeter Of An Equilateral Triangle

Example Question #3 : Calculating The Perimeter Of An Equilateral Triangle

Example Question #4 : Calculating The Perimeter Of An Equilateral Triangle

Example Question #5 : Calculating The Perimeter Of An Equilateral Triangle

All GMAT Math Resources

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