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The area of a rectangle is 54 feet^2 The length of the rectangle is 3 feet more than twice the width find the dimensions of the rectangle

Respuesta :

Answer:

Width: 9/2

Length: 12

Step-by-step explanation:

x = the width of the rectangle, so 2x+3 = the length of the rectangle. To solve for the dimensions, the equation for the area is x(2x+3) = 54. Expand to get 2x^2+3x = 54. 2x^2+3x-54 = 0, factor to get (2x-9)+(x+6) = 0. x = (9/2), or -6. Since the width of a rectangle can't be negative, x = (9/2). 2*(9/2)+3 = 9+3 = 12. Hope this helps! :)

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