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The length of a rectangle is 7 m less than three times the width, and the area of a rectangle is 66 m^2. find the dimensions of the rectangle.

Respuesta :

adelodunoba85

Answer:

length =11m

width =6m

Step-by-step explanation:

let the w = x

L = 3x-7

area =L*w

66 = (3x-7)*x

66 = [tex]3x^{2} -7x[/tex]

[tex]3x^{2} -7x-66=0[/tex]

[tex]3x^{2} -18x+11x-66=0[/tex]

3x(x-6)+11(x-6)=0

(3x+11)(x-6)=0

x-6=0

x=6

recall,

L = 3x-7 =3*6-7=11

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