Find the polynomial that represents the perimeter of a rectangle that has a length of 3x−2 and width of x+4?

2 Answers
Jim G.
Apr 20, 2018

perimeter =8x+4

Explanation:

the perimeter of a rectangle is

∙ perimeter =2l+2w

where l is the length and w the width

here l=3x−2 and w=x+4

⇒perimeter =2(3x−2)+2(x+4)←distribute

⇒perimeter =6x−4+2x+8←collect like terms

⇒perimeter =8x+4

Typo · Tony B
Apr 20, 2018

Perimeter=8x+4

Explanation:

Perimeter of a rectangle is given by the formula 2⋅length+2⋅width.

Length=(3x−2), width=(x+4)

2(3x−2)+2(x+4)

⇒(6x−4)+(2x+8)

collecting (grouping) like terms:

⇒6x+2x+8−4

⇒8x+4

Related questions
Impact of this question
14392 views around the world
You can reuse this answer
Creative Commons License