Question

siin. The scale used for a model of a kitchen isdimensions of the kitchen?1ft. In the model, the kitchen measures $2in. by 3 in.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Model

1 / 4 in = 1 1/2 ft

dimensions of the kitchen

2 1/2 in by 3 in

Step 02:

`1\text{ }(1)/(2)\text{ ft = 1 + }(1)/(2)\text{ = }(2+1)/(2)=(3)/(2)\text{ ft}`
`2\text{ }(1)/(2)in\text{ = 2 +}(1)/(2)\text{ = }(4+1)/(2)\text{ =}(5)/(2)in`

Step 03:

1 / 4 in = 3 / 2 ft

`(5)/(2)in\cdot\text{ }\frac{3\text{ / 2 ft}}{1\text{ /4 in }}\text{ = }\frac{5\text{ }}{2\text{ }}in\cdot\text{ }\frac{3\cdot4\text{ ft}}{2\cdot1\text{ in}}`
`(5)/(2)in\cdot\text{ }(12ft)/(2in)\text{ = }\frac{5\cdot12\text{ }}{2\cdot2}=\text{ }15ft`
`3\text{ in }\cdot\text{ }(12ft)/(2in)\text{ = }(3\cdot12)/(2)=18ft`

The answer is:

b. 15 ft by 18 ft