Question

A rectangular garden has a length of (2y - 4) feet and a width of 4y^2 feet. How do you find the perimeter of the garden

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{8 {y}^(2) + 4y - 8}}}}}`

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

`\bold{ \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + w)}}}`

`\longrightarrow{ \sf2(2y - 4 + 4 {y}^(2)})`

Distribute 2 through the parentheses

`\longrightarrow{ \sf{4y - 8 + 8 {y}^(2) }}`

Arrange it in standard form

`\longrightarrow{ \sf{8 {y}^(2) + 4y - 8}}`

Hope I helped!

Best regards! :D