Ahouse blueprint has a scale of 1 in. : 4 ft. the length and width of each room in the actual house are shown in the table. complete the table by finding the length and width of each room on the blueprint.   living room kitchen office bedroom bedroom bathroom actual l w (ft.) 20 8 16 16 8 16 8 16 20 20 6 8 blueprint l w (in.)

The dimensions of the rooms in the blueprint will be Living room (), Kitchen (), Office (), Bedroom (), Bedroom (), Bathroom ().

Given information:

A house blueprint has a scale of 1 in : 4 ft.

The length and width of each room in the actual house are shown in the table below:

  Living room  Kitchen  Office  Bedroom  Bedroom     Bathroom

Length  20             16    8              8                      20                6

width8             16    16              16              20                8

The scale factor is of 1 in: 4 ft. So, 4 ft of actual length is equivalent to 1 inch in the blueprint.

So, the length and width of the different rooms in te house in the blueprint will be,

  Living room  Kitchen  Office  Bedroom  Bedroom       Bathroom

Length(in) 5             4            2              2                      5                        1.5

width(in)   2             4            4              4                      5                          2

Therefore, the dimensions of the rooms in the blueprint will be Living room (), Kitchen (), Office (), Bedroom (), Bedroom (), Bathroom ().

For more details, refer to the link:

link

We know that
scale> 1 in/4 ft
[blueprint]=scale*[actual]

Part 1)  Living room 
lenght (20 ft)  > [blueprint]=(1/4)*20=5 in
width (8 ft) > [blueprint]=(1/4)*8=2 in

Part 2) Kitchen   
length (16 ft)  > [blueprint]=(1/4)*16=4 in
width (16 ft) > [blueprint]=(1/4)*16=4 in

Part 3) Office   
length (8 ft)  > [blueprint]=(1/4)*8=2 in
width (16 ft) > [blueprint]=(1/4)*16=4 in

Part 4) Bedroom 1   
length (8 ft)  > [blueprint]=(1/4)*8=2 in
width (16 ft) > [blueprint]=(1/4)*16=4 in

Part 5) Bedroom 2   
length (20 ft)  > [blueprint]=(1/4)*20=5 in
width (20 ft) > [blueprint]=(1/4)*20=5 in

Part 6) Bathroom   
length (6 ft)  > [blueprint]=(1/4)*6=1.5 in
width (8 ft) > [blueprint]=(1/4)*8=2 in

see the attached figure to view the table

Set up a system of equations

Y= -2x-1 the negative in front of the 2 is because the slope is negative and the -1 is because it’s down 1 on the y axis.