Question

An attic floor is shaped like a triangle with a height of n yd and a base of 6 yd.

Which expression represents the area of the floor?



Responses

3n2
fraction numerator 3 n end numerator over 3

n + 6
n + 6

6n
6 n

3n

Answer 1

The area \( A \) of a triangle can be calculated using the formula:

\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]

In this case, the base of the triangle is \( 6 \) yards, and the height is \( n \) yards. Plugging these values into the formula, we get:

\[
A = \frac{1}{2} \times 6 \times n
\]

This simplifies to:

\[
A = 3n
\]

Therefore, the expression that represents the area of the attic floor is \( 3n \).