Caitlin Mary wants to set up a rectangular dog pen in her backyard. Suppose that the rectangular yard has a width of and a length 4 times the width.Write the perimeter of the dog pen as a function of width, . Be sure to simplify your answer completely.Write the area of the dog pen as a function of width, . Be sure to simplify your answer completely.If Caitlin Mary has 420ft of fencing to build the rectangular dog pen, what are the dimensions of the width and the length?

Question

Kelton Glover · Accepted Answer

given width =wlength 4 times the width  ⇒  length  =  4  wperimeter of the dog pen   =  2  ⋅  (  length + width  )perimeter of the dog pen   =  2  ⋅  (  4  w  +  w  )perimeter of the dog pen   =  2  ⋅  (  5  w  )perimeter of the dog pen =10warea of the dog pen   =  length  ⋅  widtharea of the dog pen   =  4  w  ⋅  warea of the dog pen   =  4      w    2  Caitlin Mary has 420ft of fencing to build the rectangular dog penperimeter =42010w=420w=42width =42ft  length  =  4  ⋅  42  =  168   ft

Answered question

Answer & Explanation

New Questions in Pre-Algebra