A kitchen table has length that is two feet less than twice its width. If a table cloth with an area less that 26 square feet covers the table top, what is the length of the table?

Question

A kitchen table has  length that is two feet less than twice its width. If a table cloth with an area less that 26 square feet covers the table top, what is the length of the table?

Lane · Answer

l=2w-2 A=lw=(2w-2)(w)=2w^2-2w<26 2w^2-2w<26 2w^2-2w-26<0 -3.14005<w<4.14005, substitute in the first equation to find the value of l -8.2801<l<6.2801