Question

the length is 5 cm less than twice the width. label the rectangle’s length. create an equation for the perimeter of the rectangle. 6w −10 =74 correct! solve the equation and identify the width and length. ✓ that’s the width. now find the length. w = 14 l =

Explanation:

Step1: Understand the relationship

The length \( l \) is 5 cm less than twice the width \( w \). So the formula for length is \( l = 2w - 5 \).

Step2: Substitute the width value

We know the width \( w = 14 \) cm. Substitute \( w = 14 \) into the length formula: \( l = 2\times14 - 5 \).

Step3: Calculate the length

First, calculate \( 2\times14 = 28 \), then subtract 5: \( 28 - 5 = 23 \).

Answer:

The length \( l = 23 \) cm.