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.

Question

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.

GPT 3.5 · Answer

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.