Question

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

Answer 1

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

$A=xy$

we have

$A=364\ cm^2$

so

$364=xy$ ----> equation A

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

so

$x=2y+2$ ---> 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