##### Draw picture and make organized list...Math

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the perimeter of a paved area being built at a playground is ging to be 46m.  If the length & width are each a whole number of meters, what should the length & width of the area be to cover the greatest possible area? Draw a picture and make an organized list.

Apr 6th, 2015

2w + 2L = 46

divide everything by 2

w + L = 23

now make a list of the possibilities

P       L      B

46       1     22                 area = length * breadth = 22

46       2     21                 area = length * breadth = 42

46       3     20                 area = length * breadth = 60

46       4     19                 area = length * breadth = 76

46       5     18                 area = length * breadth = 90

46       6     17                 area = length * breadth =  102

46       7     16                 area = length * breadth = 112

46       8     15                 area = length * breadth = 120

46       9     14                 area = length * breadth = 126

46       10     13                 area = length * breadth = 130

46       11     12                 area = length * breadth = 132

46       12     11                 area = length * breadth = 132

lentgh & width should be 11 or 12...then area will be maximum which 132m^2

Apr 6th, 2015

What does the * stand for?

Apr 6th, 2015

* stands for multiply

Apr 6th, 2015

this is a problem that requires "plan and solve" what plan could you make for determining the perimeter with the greatest possible areas.  Make a list of all possible dimensions and areas..The Perimeter of a paved area being built at a playground is going to be 46 meters.  If the lenght and width are each a whole number of meters, what should the length and width of the area be to cover the greatest possible area?

Apr 6th, 2015

you can also use differentiation techniques....to solve the maxima minima problem...but it is the easiest way ...for the length and breadth of 11 & 12 ....2( 11+12) = perimeter is still 46 meter in all the case...and we get maximum area in the last case

Apr 6th, 2015

Thank you very much...I think we got it now...your patience was heartfelt and my grandson Nicolas says thankya thankya thankya...he is 11 yrs

Apr 7th, 2015

if you have any problem...you can ask me...I will help you...you can also add me as a tutor..just visit my profile.and add me as a tutor.

Apr 7th, 2015

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Apr 6th, 2015
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Apr 6th, 2015
Oct 20th, 2017
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