A rectangle is drawn so that the width is 2 feet shorter than the length. The area of the rectangle is 3 feet square

Respuesta :

Answer:

length =3 feet

width = 1feet

Step-by-step explanation:

let the length be x

the width = x-2

area = length * width

3 = x*(x-2)

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

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

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

[tex]x(x+1)-3(x+1) =0[/tex]

(x-3)(x+1)=0

x -3=0

x=3

thus,

the length =x =3 feet

the width =x-2 =3-2 = 1feet