Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 {y}^{2} + 4y - 8}}}}}[/tex]
Step-by-step explanation:
Given,
Length of a rectangular garden ( l ) = 2y - 4
Width of a rectangular garden ( w ) = 4y²
Perimeter of the garden = ?
Finding the perimeter of a rectangular garden having length of 2y-4 and width of 4y²
[tex] \bold{ \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + w)}}}[/tex]
[tex] \longrightarrow{ \sf2(2y - 4 + 4 {y}^{2}})[/tex]
Distribute 2 through the parentheses
[tex] \longrightarrow{ \sf{4y - 8 + 8 {y}^{2} }}[/tex]
Arrange it in standard form
[tex] \longrightarrow{ \sf{8 {y}^{2} + 4y - 8}}[/tex]
Hope I helped!
Best regards! :D
