Answer:
The perimeter of the rectangle is 18x + 12 cm.
Step-by-step explanation:
Given: [tex]\tt{w=(4x-2)}[/tex], [tex]\tt{l=(5x+8)}[/tex]
Find: [tex]\tt{P_{\boxed{\:\:}}=?}[/tex]
Formula: [tex]\tt{P_{\boxed{\:\:}}=2l+2w}[/tex]
Solution:
[tex]\tt{P_{\boxed{\:\:}}=2l+2w}[/tex]
[tex]\tt{P_{\boxed{\:\:}}=2(5x+8)+2(4x-2)}[/tex]
[tex]\tt{P_{\boxed{\:\:}}=10x+16+8x-4}[/tex]
[tex]\tt{P_{\boxed{\:\:}}=10x+8x+16-4}[/tex]
[tex]\boxed{\tt{P_{\boxed{\:\:}}=18x-12\:\:cm}}[/tex]
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