Question

this question has two parts. first, answer part a. then, answer part b.
part a
half the perimeter of a garden is 18 feet. the garden is 8 feet longer than it is wide. let ( w ) represent the width and ( ell ) represent the length.

if one of the equations in the system is ( ell + w = 18 ), what could be the second equation in the system? enter the answer.

Explanation:

Step1: Analyze the relationship between length and width

The problem states the garden is 8 feet longer than it is wide. Let \( w \) be width and \( \ell \) be length. So length equals width plus 8.
\[
\ell = w + 8
\]
Or rearranged as:
\[
\ell - w = 8
\]

Answer:

\(\boldsymbol{\ell = w + 8}\) (or \(\boldsymbol{\ell - w = 8}\))