# 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#