Question

The balcony of an apartment is 4 feet by 7 feet. On a scale drawing of the apartment, the balcony is 0.8 inch by 1.4 inches, and the kitchen is 2.4 inches by 2.8 inches.

What are the actual dimensions of the kitchen?

Answer 1

The actual dimensions of the kitchen are
`12\ ft` by
`14\ ft`

Explanation:

step 1

Find the scale of the drawing

To find the scale , remember that is equal to the ratio of the corresponding dimension in the drawing divided by the corresponding actual dimension

so

`(0.8)/(4)(in)/(ft)=0.2(in)/(ft)`

step 2

To find the actual dimensions of the kitchen, divide the dimension in the drawing by the scale

so

`2.4\ in=2.4/0.2=12\ ft`

`2.8\ in=2.8/0.2=14\ ft`