Question

if the length l of a rectangle is 3 less than twice the width w, which of the following gives the length of the rectangle in terms of the width? l = 2w + 3; l = 3w - 2; l = w + 3; l = 2w - 3

Explanation:

Step1: Analyze the problem statement

The problem says the length \( L \) of a rectangle is 3 less than twice the width \( W \). First, we need to translate this verbal description into a mathematical expression.

Step2: Translate "twice the width"

Twice the width \( W \) means \( 2\times W \), which is written as \( 2W \).

Step3: Translate "3 less than twice the width"

"3 less than" a quantity means we subtract 3 from that quantity. So, 3 less than \( 2W \) is \( 2W - 3 \). Since the length \( L \) is equal to this value, we have \( L = 2W - 3 \).

Answer:

\( L = 2W - 3 \) (the option with this equation, likely the last one in the list as per the given options: \( L = 2W - 3 \))