Answer:
A .
length : 2x + 2 + [tex]\frac{1}{2}[/tex]x - 4 + x-2
= 2x + 2 + [tex]\frac{x}{2}[/tex]- 4 + x-2
= 2x + x - 4 + x - 2
= 4x -6
width : x - 2 + x
= 2x -2
B.
to find the perimeter
perimeter of rectangle = 2 ( l + b)
= 2 (4x -6 + 2x -2)
= 2 ( 6x - 8)
= 12x - 16
perimeter of Marlene's house in simplest form is 12x - 16
C.
perimeter = 142 finding the value of x ..
142 = 12x - 16
12x = 142 + 16
12x = 158
x = 158/12
x = 13.16
22.
area of living room = length × breadth
= 2x + 2 ×x
= 2 (13.16) + 2 × 13.16 (distributive property used)
= 26.32 + 2 × 13.16
= 28.32 × 13.16
= 372.6912
area of her living room = 372.6912
23. to find the length and width of Marlene's living room
length = 2x + 2
= 2 (13.16) + 2
= 26.32 + 2
= 28.32
Width = x
= 13.16
A .
The actual length of her living room is 28.32
The actual width of her living room is 13.16
B.
The actual area of Marlene's Living room is 372.6912 feet (given above) using actual dimensions
24.
Actual area of living room = length × breadth
= 2x + 2 ×x
= 2 (13.16) + 2 × 13.16 (distributive property used)
= 26.32 + 2 × 13.16
= 28.32 × 13.16
= 372.6912
Actual area of her living room = 372.6912
25.
Yes the answers to Question 23B and Qestions 24 are same .
We can conclude by saying that the x value doesn't change
