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

2 Answers
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

rArr"perimeter "=2(3x-2)+2(x+4)larrcolor(blue)"distribute"

color(white)(rArr"perimeter ")=6x-4+2x+8larrcolor(blue)"collect like terms"

color(white)(rArr"perimeter ")=8x+4

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)

rArr (6x-4)+(2x+8)

collecting (grouping) like terms:

rArr 6x+2x+8-4

rArr 8x+4