Ahomeowner wants to build a fence to enclose a 180 square yard rectangular area in his backyard. along one side the fence is to be made of heavy-duty material costing $9 per yard, while the material along the remaining three sides costs $1 per yard. determine the least cost to the homeowner.

$ 366.71

Step-by-step explanation:

Given

Area of rectangular area

Let Length and Breadth be L and b yard

at one side it cost $ 9 per yard and $ 1 per yard

Area =Lb

Total cost C=9L+b

substitute the value of L i.e.

differentiate C w.r.t to b

Put  for max/min value

therefore Length

Total Cost

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or  

step-by-step explanation:

for the free