Answer :
Answer:
Actual dimensions: 12 ft by 16 ft.
[tex]\text{Area of the room}=192\text{ ft}^2[/tex]
Step-by-step explanation:
We have been given that blue prints for a new house show Jim's bedroom is 1.5 inches by 2 inches. The scale on the blueprints is 0.5 in = 4 ft.
Since 0.5 inches equals to 4 ft, therefore, 1 inch will be equal to 8 ft.
To find the actual dimensions of Jim's room, we will multiply 8 ft by each dimension as:
[tex]1.5\text{ inches}\times \frac{\text{8 ft}}{\text{ Inch}}=1.5\times 8\text{ ft}=12\text{ ft}[/tex]
[tex]2\text{ inches}\times \frac{\text{8 ft}}{\text{ Inch}}=2\times 8\text{ ft}=16\text{ ft}[/tex]
Therefore, the actual dimensions of Jim's room are 12 ft by 16 ft.
Area of Jim's room would be product of length and width as:
[tex]\text{Area of the room}=12\text{ ft}\times 16\text{ ft}=192\text{ ft}^2[/tex]
Therefore, the area of the room is 192 square feet.