The length of the table is #5# #m# greater than the width. The area is #84# #m^2#. What are the table dimensions?

1 Answer
CW
Oct 12, 2016

width#=7#, length #=12#

Explanation:

Let the width be #w#, #=># length#=w+5#
#=> w*(w+5)=84#
#w^2+5w=84#
#w^2+5w-84=0#
#(w-7)(w+12)=0#
#w=7 or -12#
As #w# can't be negative, #=> w=7#
#=># table width#=w=7#,
table length#=w+5=12#

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