Respuesta :
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
The expression should be 4x + 32
Calculation:
- Since 4 is the width, in meters, and (x+8) represents the extended length, in meters.
So, area is;
A = 4(x+8)
And,
[tex]A = (4 \times x) + (4 \times 8)[/tex]
A = 4x + 32
learn more about the area here: https://brainly.com/question/24418415