SOLUTION: Using whole units and the perimeter given, find the dimensions of the rectangle with the greatest area. 1. P=24 Please show step by step of how to solve this problem. Thank you

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Question 443264: Using whole units and the perimeter given, find the dimensions of the rectangle with the greatest area.
1. P=24
Please show step by step of how to solve this problem. Thank you.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi

A rectangle has a perimeter of 24 feet.
Let x and y represent the width and length respectively
2*y + 2*x = 24
2(y+x) = 24
y + x = 12
Possible combinations of the dimensions and resulting Area
Rectangle in shape of a square with all sides = 6 has the greatest area.
width length Area
1 11 11
2 10 20
3 9 27
4 8 32
5 7 35
6 6
7 5 35
8 4 32
9 3 27
10 2 20
12 1 12



ewatrrr@aol.com
private/pay tutoring Inquiries only, please.


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