Modeling and Problem Solving: EASY 10 POINTS!?

Question

A farmer wants to fence a garden using an an existing fence shown in the diagram below

he has "x" meters of fencing

find the maximum area of the garden and the dimentions of the garden

fully explain your process

"x" = 173

diagram:

existing fence

┬───┬─

└───┘

Answer 1

I do not understand your question.

What does the diagram:

existing fence

┬───┬─

└───┘

means?

and

why say he has "x" meters of fencing...then give "x" = 173

when you could just say he has 173m of fencing?

or did i misunderstand? please add more details and rephrase your question more clearly.

Thank you (:

Answer 2

let it be a aXb garden

a+b=173

well im not sure abt the figure but the max area that can be fenced is when garden is a square

a=b

a=173/2

area a^2=[173^2]/4

Answer 3

length of fence = 173 (which also becomes the perimeter of the garden)

The maximum area of a garden is always a SQUARE garden.

Divide 173 by 4 which will give you one side of the square (which of course is also the measure of the other 3 sides)

173/4 = 43.25

Maximum Area of garden  = 43.25 x 43.25 = 1870.56 unit^2

(you did not mention the unit of the fence)