Question #8183c

1 Answer
Apr 29, 2017

Width#color(blue)(=3x+1#

Explanation:

#2L+2W=#Perimeter of a rectangle

#:.2L+2W)=6x^2+10x+2# given

#:.2(L+W)=2(3x^2+5x+1)#

#:.L+W=(2(3x^2+5x+1))/2#

#:.L+W=3x^2+5x+1#

#:.(L+W)-L=W#

#:.L=3x^2+2x# given

#:.W=3x^2+5x+1-(3x^2+2x)#

#:.W=3x^2+5x+1-3x^2-2x#

#:.W=5x-2x+1#

#:.color(blue)(W=3x+1#