hahadontknow hahadontknow
  • 03-11-2020
  • Mathematics
contestada

The width of a picture frame is x inches and the length is x+3 inches, what is the value of x if the area must be 40 square inches

Respuesta :

Muscardinus Muscardinus
  • 09-11-2020

Answer:

x = 5

Step-by-step explanation:

Width = x inches

Length = (x+3) inches

Area = 40 sq inches

The area of a rectangular shaped object is given by :

[tex]A=l\times b[/tex]

Putting all the values,

[tex]x(x+3)=40\\\\x^2+3x-40=0\\\\x^2+8x-5x-40=0\\\\x(x+8)-5(x+8)=0\\\\(x-5)(x+8)=0\\\\x=5,-8[/tex]

Neglecting x = -8.

So, the value of x is 5.

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