The length of a rectangle is five times its width. The perimeter of the rectangle is at most 96 cm. Which inequality models the relationship between the width and the perimeter of the rectangle? 2w+2⋅(5w)>96 2w+2⋅(5w)<96 2w+2⋅(5w)≤962w+2⋅(5w)≥96
Accepted Solution
A:
LetL--------> the length of the rectangleW-------> the width of the rectanglewe know thatthe perimeter of the rectangle is equal to[tex]P=2L+2W[/tex] [tex]P\leq 96\ cm[/tex]so[tex](2L+2W)\leq 96[/tex] ---------> equation [tex]1[/tex][tex]L=5W[/tex] ---------> equation [tex]2[/tex]Substitute equation [tex]2[/tex] in equation [tex]1[/tex][tex]2*(5W)+2W\leq 96[/tex] thereforethe answer is the option2w+2⋅(5w)≤96