Question

Blueprints for a new house show Jim's bedroom is 1.5 inches by 2 inches. If the scale on the blueprints is 0.5 in = 4 ft, what are the actual dimensions of his room? What is the area of the room?

Answer 1

Actual dimensions: 12 ft by 16 ft.

`\text{Area of the room}=192\text{ ft}^2`

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:

`1.5\text{ inches}* \frac{\text{8 ft}}{\text{ Inch}}=1.5* 8\text{ ft}=12\text{ ft}`

`2\text{ inches}* \frac{\text{8 ft}}{\text{ Inch}}=2* 8\text{ ft}=16\text{ ft}`

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:

`\text{Area of the room}=12\text{ ft}* 16\text{ ft}=192\text{ ft}^2`

Therefore, the area of the room is 192 square feet.