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.

Answer 1

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.