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mang jose has 24 m of chicken wire to make rectangular chicken pen using using th barn for one side od the pen. what are the dimensions of the pen that will contain the greatest area​

Sagot :

Answer:

5 by 7

Solution:

Since Mang Jose wants to make a rectangular chicken pen, thus the perimeter = 2L + 2W

2(L+W) = 24

L + W = 24/2 = 12

If L = 11, W = 1, the area is 11 m^2

If L = 10, W = 2, the area is 20 m^2

If L = 9, W = 3, the area is 27 m^2

If L = 8, W = 4, the area is 32 m^2

If L = 7, W = 4, the area is 35 m^2

If L = 6, W = 6, the area is 36 m^2 but this will be a square.

As we can see, 35 m^2 is the greatest area with dimensions of 7 and 5,

Thus, the dimensions are 7 and 5.

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