Question

use the formula for the area of a rectangle ( a = lw ) to answer the question. a rectangle has a length of ( n ) units. its width is 6 units less than its length. what is the area of the rectangle? options: ( n(n + 6) ), ( n + 6 ), ( n(n - 6) ), ( 4n - 12 )

Explanation:

Step1: Find the width of the rectangle

The length \( l = n \) units. The width \( w \) is 6 units less than the length, so \( w = n - 6 \).

Step2: Calculate the area using the formula \( A = lw \)

Substitute \( l = n \) and \( w = n - 6 \) into the formula: \( A = n\times(n - 6)=n(n - 6) \).

Answer:

\( n(n - 6) \) (corresponding to the option "n(n - 6)")