Question

1. the perimeter of a rectangle can be found using the expression $2\ell + 2w$, where $\ell$ represents the length and $w$ represents the width. find the perimeter when $\ell = 6$ units and $w = 4$ units.

Explanation:

Step1: Substitute values into formula

Given the perimeter formula \( P = 2\ell + 2w \), substitute \( \ell = 6 \) and \( w = 4 \).
\( P = 2\times6 + 2\times4 \)

Step2: Calculate each term

Calculate \( 2\times6 = 12 \) and \( 2\times4 = 8 \).
\( P = 12 + 8 \)

Step3: Sum the terms

Add 12 and 8.
\( P = 20 \)

Answer:

20 units