ISEE Lower Level Math : How to find the perimeter of a triangle

Study concepts, example questions & explanations for ISEE Lower Level Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1291 : Isee Lower Level (Grades 5 6) Mathematics Achievement

An isosceles triangle measures \(\displaystyle x\) inches along its two equal sides, and \(\displaystyle y\) inches along its third side.  What is the perimeter of the triangle? 

Possible Answers:

\(\displaystyle x^2y\)

\(\displaystyle 2x + y\)

\(\displaystyle 3xy\)

\(\displaystyle x^2 + y\)

\(\displaystyle 2x - y\)

Correct answer:

\(\displaystyle 2x + y\)

Explanation:

To find the perimeter of any object, simply add the length of each side together.  The best answer is:

\(\displaystyle x + x + y =\)

\(\displaystyle 2x + y\)

Example Question #21 : How To Find The Perimeter Of A Triangle

An equilateral triangle has a base of \(\displaystyle 7\).  What is the perimeter?

Possible Answers:

\(\displaystyle 21\)

\(\displaystyle 14\)

Cannot be determined since you are given one side length only.

\(\displaystyle 24.5\)

\(\displaystyle 49\)

Correct answer:

\(\displaystyle 21\)

Explanation:

An equilateral triangle has three equal sides so the side lengths of this triangle are \(\displaystyle 7,7,\) and \(\displaystyle 7\).  

The perimeter is the total of the three sides so the answer is,

 \(\displaystyle 7+7+7=21\).

Example Question #1293 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Find the perimeter of an equilateral triangle that has a side with a length of 9cm.

Possible Answers:

\(\displaystyle 18\text{cm}\)

\(\displaystyle 27\text{cm}^2\)

\(\displaystyle 81\text{cm}\)

\(\displaystyle 81\text{cm}^2\)

\(\displaystyle 27\text{cm}\)

Correct answer:

\(\displaystyle 27\text{cm}\)

Explanation:

The formula to find the perimeter of a triangle is

\(\displaystyle \text{perimeter of triangle} = a+b+c\)

where a, b, and c are the lengths of the sides.  When looking at equilateral triangles, we know that all lengths are equal.  Therefore, we know that each side is equal to 9cm.  So,

\(\displaystyle \text{perimeter of triangle} = 9\text{cm}+9\text{cm}+9\text{cm}\)

\(\displaystyle \text{perimeter of triangle} = 27\text{cm}\)

 

Example Question #1294 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Find the perimeter of the following triangle:

Triangle1

Possible Answers:

\(\displaystyle 15\text{in}\)

\(\displaystyle 19\text{in}\)

\(\displaystyle 22\text{in}^2\)

\(\displaystyle 270\text{in}\)

\(\displaystyle 22\text{in}\)

Correct answer:

\(\displaystyle 22\text{in}\)

Explanation:

To find the perimeter of a triangle, we will use the following formula:

\(\displaystyle \text{perimeter of triangle} = a+b+c\)

where a, b, and c are the lengths of each side of the triangle.

 

The sides on this triangle are of length 9in, 10in, and 3in.  So, we will add those lengths together.  We get

\(\displaystyle \text{perimeter of triangle} = 9\text{in} + 10\text{in} + 3\text{in}\)

\(\displaystyle \text{perimeter of triangle} = 22\text{in}\)

Example Question #1293 : Isee Lower Level (Grades 5 6) Mathematics Achievement

An isosceles triangle measures \(\displaystyle 4\) inches along its two equal sides, and \(\displaystyle x\) inches along its third side.  What is the perimeter of the triangle? 

Possible Answers:

\(\displaystyle 4x\)

\(\displaystyle 4x + 1\)

\(\displaystyle 8 + x\)

\(\displaystyle 4 + 4x\)

\(\displaystyle 8x\)

Correct answer:

\(\displaystyle 8 + x\)

Explanation:

To find the perimeter of any object, simply add the length of each side together.  The best answer is:

\(\displaystyle 4 + 4 + x = 8 + x\)

Example Question #1296 : Isee Lower Level (Grades 5 6) Mathematics Achievement

An isosceles triangle measures \(\displaystyle 3\) inches along its two equal sides, and \(\displaystyle 7\) inches along its third side.  What is the perimeter of the triangle? 

 

Possible Answers:

\(\displaystyle 13\)

\(\displaystyle 11\)

\(\displaystyle 14\)

\(\displaystyle 12\)

\(\displaystyle 15\)

Correct answer:

\(\displaystyle 13\)

Explanation:

To find the perimeter of any object, simply add the length of each side together.  The best answer is:

\(\displaystyle 3 + 3 + 7 = 13\)

Example Question #22 : How To Find The Perimeter Of A Triangle

An equilateral triangle measures \(\displaystyle y + 1\) inches along its three equal sides.  What is the perimeter of the triangle? 

Possible Answers:

\(\displaystyle y + 3\)

\(\displaystyle 3y + 3\)

\(\displaystyle 3y + 1\)

\(\displaystyle 3y + 9\)

\(\displaystyle 6y + 6\)

Correct answer:

\(\displaystyle 3y + 3\)

Explanation:

To find the perimeter of any object, simply add the length of each side together.  The best answer is:

\(\displaystyle y + 1 + y+1+y+1 = 3y + 3\)

Example Question #1294 : Isee Lower Level (Grades 5 6) Mathematics Achievement

An equilateral triangle measures \(\displaystyle 4n\) inches along its three equal sides.  What is the perimeter of the triangle? 

Possible Answers:

\(\displaystyle 10n\)

\(\displaystyle 12n\)

\(\displaystyle 16n\)

\(\displaystyle 8n\)

\(\displaystyle 14n\)

Correct answer:

\(\displaystyle 12n\)

Explanation:

To find the perimeter of any object, simply add the length of each side together.  The best answer is:

\(\displaystyle 4n + 4n + 4n =12n\)

Example Question #361 : Geometry

Find the perimeter of an equilateral triangle with a side of length 13cm.

Possible Answers:

\(\displaystyle 39\text{cm}^2\)

\(\displaystyle 169\text{cm}^2\)

\(\displaystyle \text{There is not enough information to solve the problem.}\)

\(\displaystyle 39\text{cm}\)

\(\displaystyle 169\text{cm}\)

Correct answer:

\(\displaystyle 39\text{cm}\)

Explanation:

To find the perimeter of a triangle, we use the following formula:

\(\displaystyle \text{perimeter of triangle} = a+b+c\)

where a, b, and c are the lengths of the sides of the triangle.  

 

So, given the triangle mentioned above, we know that it is an equilateral triangle.  Because it is an equilateral triangle, we know that all the sides are equal.  The problem says one side is 13cm.  Therefore all sides are 13cm.  Knowing that, we can substitute into the formula.  We get

\(\displaystyle \text{perimeter of triangle} = 13\text{cm} +13\text{cm} +13\text{cm}\)

\(\displaystyle \text{perimeter of triangle} = 39\text{cm}\)

Example Question #362 : Geometry

Find the perimeter of an equilateral triangle with a base of 8 inches.

Possible Answers:

\(\displaystyle 48\text{in}\)

\(\displaystyle \text{There is not enough information to solve the problem.}\)

\(\displaystyle 48\text{in}^2\)

\(\displaystyle 24\text{in}^2\)

\(\displaystyle 24\text{in}\)

Correct answer:

\(\displaystyle 24\text{in}\)

Explanation:

To find the perimeter of a triangle, we use the following formula:

\(\displaystyle \text{perimeter of triangle} = a+b+c\)

where a, b, and c are the lengths of the sides of the triangle.

 

We know the length of the base of the triangle is 8 inches.  Because it is an equilateral triangle, we also know that all sides are equal.  Therefore, all sides are 8 inches.  Knowing this, we can substitute into the formula.  We get

\(\displaystyle \text{perimeter of triangle} = 8\text{in} +8\text{in} +8\text{in}\)

\(\displaystyle \text{perimeter of triangle} = 24\text{in}\)

Learning Tools by Varsity Tutors