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A rectangular vegetable patch has a perimeter of 18 meters. Its area is 20 square meters. What are the dimensions of the vegetable patch?

 Apr 15, 2019
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Perimeter  = 2 ( L + W)

18 = 2(L + W)    divide through by 2

9 = L + W

9 - L  = W

 

Area = L  * W

20 = L (9 - L)

20 = 9L - L^2

L^2  - 9L + 20  = 0      factor

 

(L - 5) (L - 4) = 0

 

Set both factors to 0  and solve for L

 

L = 5     and L  = 4

 

And these are the dimensions....5 x 4

 

 

cool cool cool

 Apr 15, 2019

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