Math
posted by Dee on .
Help Homework : MaKE A TABLE:relate primeter and area
Amaya has 24 inches of ribbon she can glue around the edge of a rectangular gift box lid. if she wants to use all the ribbon without any overlapping, what are the length and width of a gift box lid with the greatest area?

area= lw
but 24=2L+2w or w=12L
area=l(12l)
Wondering if you have calculus yet....assuming not.
table
l area
4 32
5 35
6 36
7 35...already found max area, l=6, so w=6 
Length = 7 inches
Width = 5 inches
Area = 35 square inches 
Amaya has 24 inches of ribbon she can glue around the edge of a rectangular gift box lid. if she wants to use all the ribbon without any overlapping, what are the length and width of a gift box lid with the greatest area?