Payal Tandon
Co-founder, e-GMAT
Welcome to e-GMAT Support!
I am Payal, Co-Founder of e-GMAT.
Feel free to ask any Query.
We will be contacting you soon on

## OGQR 2020: Question No. 210

What is the perimeter of triangle ABC?

1. AB = 16 inches
2. ΔABC is equilateral.
 Source OGQR 2020 Type Data Sufficiency Topic Geometry Sub-Topic Triangle Difficulty Easy

### Solution

#### Steps 1 & 2: Understand Question and Draw Inferences

We are given:

• A triangle ABC.

We need to find its perimeter.

• So, we need the length of all the sides of the triangle.

As we do not have any more relevant information, let us now analyse the statements.

#### Step 3: Analyse Statement 1

“AB = 16 inches”

From this information, we cannot find the answer to the question as we are not given the lengths of other two sides.

Thus, statement 1 is not sufficient to answer the question.

#### Step 4: Analyse Statement 2

“ΔABC is equilateral.”

For an equilateral triangle, the perimeter of the triangle = 3 × Side.

• However, we do not know the length of the side of the triangle.
• Thus, statement 2 is not sufficient to answer the question.

#### Step 5: Combine Both Statements Together (If Needed)

From Statement 1:

• AB = 16 inches

From Statement 2:

• Area of the triangle = 3 × Side.

By using both the statements, we can find the perimeter of the triangle.

Hence, we can find the answer by combining both the statements together.

• Thus, the correct answer choice is option C.

If you are planning to take the GMAT, we can help you with a personalized study plan and give you access to quality online content to prepare. Write to us at acethegmat@e-gmat.com. We are the most reviewed GMAT prep company on gmatclub with more than 2400 reviews and are the only prep company that has delivered more than 700+ scores than any other GMAT club partner. Why don’t you take a free trial and judge for yourself?