The length of a rectangle picture frame is 2 centimeters more than twice it’s width. If the area of the frame is 364 square centimeters, find the length and width of the frame

Respuesta :

Answer:

Length:28 cm

Width: 13 cm

Step-by-step explanation:

Let

x ---> the length of a rectangle picture frame

y ---> the width of a rectangle picture frame

we know that

The area of a rectangle picture frame is equal to

[tex]A=xy[/tex]

we have

[tex]A=364\ cm^2[/tex]

so

[tex]364=xy[/tex] ----> equation A

The length of a rectangle picture frame is 2 centimeters more than twice it’s width

so

[tex]x=2y+2[/tex] ---> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (28,13)

see the attached figure

therefore

Length:28 cm

Width: 13 cm

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