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A question and two statements are given. Identify which of the statements is/are sufficient to answer the question. Question: Find the area
Question

A question and two statements are given. Identify which of the statements is/are sufficient to answer the question.
Question:
Find the area of the equilateral triangle.
Statements:
1: The measure of one of the sides of the triangle side is 7em.
2: The perimeter of the triangle is 21cm.

A.

Both statements 1 and 2 are sufficient independently.

B.

Neither statement 1 nor 2 is sufficient independently.

C.

Statement 1 is sufficient but statement 2 is not sufficient.

D.

Statement 2 is sufficient but statement 1 is not sufficient.

Correct option is A

The given statements:
Statement 1: The measure of one of the sides of the triangle is 7 cm.
For an equilateral triangle, if one side is known, the area can be calculated using the formula:
Area of a triangle

Therefore, this statement is sufficient to find the area.
Statement 2: The perimeter of the triangle is 21 cm.
Since an equilateral triangle has all sides equal, we can find the length of one side by dividing the perimeter by 3:
Side = 21/3 =7cm
With the side length known, the area can be calculated using the same formula as in Statement 1.
Both statements independently provide enough information to find the area of the equilateral triangle.
The correct answer is: (a) Both statements 1 and 2 are sufficient independently.

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