Question

WILL GIVE BRAINLEST 100Pts

Answer 1

Answer:

A .

length : 2x + 2 + $\frac{1}{2}$x - 4 + x-2

          =  2x + 2 + $\frac{x}{2}$- 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