Problema Solution
A gardening enthusiast wishes to fence in three identical, rectangular adjoining garden plots. if each plot is to be 80 square feet in area and has 88 feet of fencing material at hand, what dimensions should each plot have?
Answer provided by our tutors
First, lets write a formula for the amount of fencing needed for the garden plots, using 'w' for the width of each plot and 'l' as the length of each plot. Also, let's assume that the plots are joined on their 'w' sides in parallel fashion. We can write:
fencing needed=4w+6l
88=4w+6l
We also know:
wl=80 (area of each plot)
Solving for 'w' and 'l', we get:
w= 12, or 10
l= 20/3 or 8
Therefore the dimension of each plot is either 12x6.67 or 10x8. Either solution works.