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 represents the area of the​ deck, where is the​ width, in​ meters, and 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

Complete question is;

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 distributive property to write an expression that represents the total area of meilings new deck.

Answer:

4x + 32

Step-by-step explanation:

We are told that the expression 4(x+8) represents the area of the deck.

Also, that 4 is the width, in meters, and (x+8) represents the extended length, in meters.

Thus, area is;

A = 4(x+8)

Using distributive property simply means we will distribute the term outside the bracket to each term inside the bracket.

Thus;

A = (4 * x) + (4 × 8)

A = 4x + 32