The length of a rectangle is 3 inches more than twice the width. The area is 27 square inches. What is the length?
1 Answer
Jun 4, 2016
Length
Explanation:
Area
Length
#l=2b+3#
Substituting#l=2b+3# in equation (1)
#(2b+3)xxb=27#
#2b^2+3b=27#
#2b^2+3b-27=0#
#2b^2+9b-6b-27=0#
#2b(b+9)-3(2b+9)=0#
#(2b-3)(b+9)=0#
#.2b-3=0#
#2b=3#
#b=3/2#
#b+9=0#
#b=-9#
width cannot be negative. Hence
Width
Then Lenth
#l=2b+3#
#l=(2xx3/2)+3#
#l=6/2+3=3+3=6#