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8_murik_8 [283]
4 years ago
8

The length of a rectangle is 3 m less than double the width, and the area of the rectangle is 65 m2 . find the dimensions of the

rectangle.
Mathematics
1 answer:
kirill115 [55]4 years ago
4 0
10(length) by 6.5(width). 6.5×2=13, 13-3=10
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Answer:

The dimensions are 25 * 50 feet.

Step-by-step explanation:

The 3 sides of the pen will measure (2x + y)  feet where x is the width and y is the length.

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The area A  = xy =  x(100 - 2x) ft^2.

Finding the maximum area.

A = x(100 - 2x)

A = 100x - 2x^2     Finding the derivative:

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100 - 4x = 0

4x = 100

x = 25 ft,  so this is the width.

The length is  100  - 2(25) =  50 ft.

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