Answer:
The simplified algebraic expression is 6x + 2.
Step-by-step explanation:
Perimeter ( rectangle formula ) = 2l + 2w
Plug in the values
2l + 2w
= 2( 2x + 5 ) + 2( x - 4 ) Distribute the 2 to the ( )
= 4x + 10 + 2x -8 Combine like terms
= 6x + 2