1. Take these REAL measures:
Living Room: 12 ft x 20 ft
Couch: 7 1/2 ft x 4 ft
End table: 30 in x 42 in
Recliner: 36 in x 40 in
2. Apply the scale factor of 1 inch in our drawing will represent 2 ft in real life.
3. Convert each measure using the 1in/2ft scale factor.
No decimal answers, put your model measures in simplified mixed numbers if they are not whole numbers.
ANSWERS:
Living Room: 6 inches x 10 inches
Couch: 4 1/2 inches x 2 inches
End Table: 4/5 inches x 4/7 inches
Recliner: 2/3 inches x 3/5 inches
(My answers)
Are they correct?
Updated Answers:
ANSWERS:
Living Room: 6 inches x 10 inches
Couch: 3 3/4 inches x 2 inches
End Table: 1 1/4 inches x 1 1/2 inches
Recliner: 1 1/2 inches x 1 1/3 inches
Are these correct?
End table: 30 in x 42 in = 30/24 x 42/24 = 5/4 x 7/4
Recliner: 36 in x 40 in = 36/24 x 40/24 = 3/2 x 5/3
disagree with
End table: 30 in x 42 in
= 5/4 ft by 7/2 ft
----> 5/8 in by 7/4 in
and
Recliner: 36 in x 40 in
= 3 ft by 10/3 ft
----> 1 1/2 in by 5/3 in
remember what you did for the first two :
you divided your ft by 2 and that became your answer in inches
oops,
end table
End table: 30 in x 42 in
= 5/2 ft by 7/2 ft
----> 5/4 in by 7/4 in
as shown by oobleck
To check if your answers are correct, we can follow the given steps and calculate the measurements using the given scale factor.
1. Living Room:
Given: 12 ft x 20 ft
Using the scale factor, 1 inch represents 2 ft.
So, we need to divide each side of the room by 2 to convert it to inches:
12 ft / 2 = 6 inches
20 ft / 2 = 10 inches
Your answer for the living room is correct: 6 inches x 10 inches.
2. Couch:
Given: 7 1/2 ft x 4 ft
We need to convert each dimension to inches using the scale factor:
7 1/2 ft / 2 = 15/2 = 7 1/2 inches (since 1/2 ft = 6 inches)
4 ft / 2 = 2 inches
Your answer for the couch is correct: 7 1/2 inches x 2 inches.
3. End Table:
Given: 30 in x 42 in
Since the given dimensions are already in inches, no conversion is necessary.
Your answer for the end table is correct: 30 inches x 42 inches.
4. Recliner:
Given: 36 in x 40 in
Since the given dimensions are already in inches, no conversion is necessary.
Your answer for the recliner is correct: 36 inches x 40 inches.
Therefore, based on the calculations, all of your answers are correct.