Answer:
The width of the frame is 8 inches and the length of the frame is 26 inches
Step-by-step explanation:
The complete question in the attached figure
Let
L ----> the length of the frame in inches
W ---> the width of the frame in inches
we have
[tex]2L+2W=68[/tex] ----> equation A
[tex]2L-6W=4[/tex] ----> equation B
Solve the system by elimination
Subtract equation B from equation A
[tex]2L+2W=68\\-(2L-6W)=-4\\---------\\2W+6W=68-4\\8W=64\\W=8\ in[/tex]
Find the value of L
substitute the value of W in any equation
[tex]2L+2(8)=68[/tex]
[tex]2L+16=68[/tex]
[tex]2L=68-16[/tex]
[tex]2L=52[/tex]
[tex]L=26\ in[/tex]
therefore
The width of the frame is 8 inches and the length of the frame is 26 inches
