Aman wishes to have a rectangular shaped garden in his backyard. he has 84 feet of fencing with which to enclose his garden. a) write an expression for the perimeter of the garden. b) the area of the garden is a = l*w. use the perimeter equation from part (a) to write the area in terms of just one variable. c) find the dimensions for the largest area garden he can have if he uses all the fencing.

84=2l+2w

w=21

Step-by-step explanation:

84=2(l+w)

42=l+w

l=42-w

Area=l×w

A=(42-w)×w

Differentiate A=42w-w×w

with respective to "w".

dA/dw= 42-2w

For a minimum or maximum area

dA/dw=0

then, 42-2w=0

w=21

proving "A" is maximum when "w=21"

dA/dw>0 when w<21

dA/dw<0 when w>21

Therefore Area is maximum when "w=21"

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.