An architect plans to build an extension to Meiling's rectangular deck. Let x represent the increase, in meters, of her deck's length. The expression 4(x + 8) represents the area of the deck, where 4 is the width, in meters, and (x+ 8) represents the extended length, in meters. Use the Distributive Property to write an expression that represents the total area of Meiling's new deck.
The total area of Meiling's new deck can be represented by expanding the expression 4(x + 8):
4(x + 8)
= 4*x + 4*8
= 4x + 32
So, the expression that represents the total area of Meiling's new deck is 4x + 32.