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 3(8x+8) represents the area of the deck, where 3 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.
To find the total area of Meiling's new deck, we need to multiply the width and the extended length. The width is 3 meters and the extended length is (x+8) meters. Using the distributive property, we can write the expression as:
3 * (x+8)
Expanding this expression, we get:
3x + 3 * 8
Simplifying further, we have:
3x + 24
Therefore, the expression that represents the total area of Meiling's new deck is 3x + 24 square meters.