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Carlos is building a game room adjacent to his living room so that both rooms will have the same width. he created the model shown below. (x+4) (2x+6) (x-4)Part A: write an expression for the total area of both rooms Part B: if the length of the game room is 12 feet, what is the total square footage of the two rooms??

Carlos is building a game room adjacent to his living room so that both rooms will have the same width he created the model shown below x4 2x6 x4Part A write a class=

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julieberrie

Answer:

1,000 sq ft

Step-by-step explanation:

Part A:

To find the total area of both rooms (length x width):

(x+4)(2x+6+x-4)

(x+4)(2x+2+x)

2x²+2x+x²+8x+8+4x

= 3x²+14x+8

Part B:

If the length of the game room = 12 ft, we can solve for x:

Game room = (x-4)=12; therefore x=16

Plug 16 in for x in the equation from Part A:

3x²+14x+8 becomes 3(16)²+14(16)+8

= 1,000 sq ft

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