Guys please help ahhhhhh math homework isnt the best haha

I'm not sure if this is exactly right because the wording of the problem is confusing.

Answer:

a) Number of square feet of wallpaper for bedroom = 12x^2 - 21

b) Number of square feet of wallpaper for living room = 14x^2 - 42

c) Total amount of wallpaper needed = 26x^2 - 63

d) 107 more sq ft of wallpaper will be needed for the living room than bedroom.

Step-by-step explanation:

a) First find the area of each wall.

Length: 3x, Width: 3x, Height: x

(3x × x) + (3x × x) + (3x × x) + (3x × x) = 3x^2 + 3x^2 + 3x^2 + 3x^2 = 12x^2

12x^2 represents the amount of wallpaper needed, including the door. Find the area of the door and subtract it from this value.

3 × 7 = 21

12x^2 - 21 = Total sq ft of wallpaper needed for bedroom

b) First find the area of each wall.

Length: 4x, Width: 3x, Height: x

(4x × x) + (4x × x) + (3x × x) + (3x × x) = 4x^2 + 4x^2 + 3x^2 + 3x^2 = 14x^2

14x^2 represents the amount of wallpaper needed, including the door. Find the area of both doors and subtract it from this value.

3 × 7 = 21 × 2 = 42

42x^2 - 42 = Total sq ft of wallpaper needed for living room

c) Add the two expressions to find the total amount of wallpaper needed.

(12x^2 - 21) + (42x^2 - 42) = 26x^2 - 63

26x^2 - 63 = Total sq ft of wallpaper needed for both rooms

d) Plug x = 8 into the equations found in part a and b.

12(8)^2 - 21 = 747

14(8)^2 - 42 = 854

Subtract these answers to find the difference in amount.

854 - 747 = 107

The living room needs 107 sq ft more of wallpaper than the bedroom

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