Answer:
The correct answer is option 2: 32 cm
Step-by-step explanation:
Let l be the length of the picture frame and w be the width
Then according to given statements, the system of equations will be
[tex]2l+2w = 100\ \ \ Eqn\ 1\\w = 2l-4\ \ \ Eqn\ 2[/tex]
Putting w = 2l-4 in equation 1
[tex]2l+2(2l-4) = 100\\2l+4l-8=100\\6l-8 = 100\\6l = 100+8\\6l=108\\\frac{6l}{6}=\frac{108}{6}\\l = 18[/tex]
Putting the value of l in equation 2
[tex]w = 2(18)-4\\w = 36-4\\w = 32[/tex]
The width is 32 cm
Hence,
The correct answer is option 2: 32 cm
