Question

Trinity has an 80/1 scale drawing of the floor plan of her house. On the floor plan, the dimensions of her rectangular living room are 1 7/8 inches by 2 1/2 inches. Which of the choices below could represent the dimensions of her actual living room. A 140 inches by 200 B 150 inches by 200 C 150 inches by 140 inches D 140 inches by 180 inches

Answer 1

Answer: Option B.

Explanation:

We know that her living room has the shape of a rectangle and its dimensions on the floor plan are:

`1\ (7)/(8)\ in` by
`2\ (1)/(2)\ in`

We can convert from mixed numbers to decimal numbers:

`1\ (7)/(8)\ in=(1+0.875)\ in=1.875\ in`

`2\ (1)/(2)\ in=(2+0.5)\ in=2.5\ in`

We know the scale drawing of the floor plan of Trinity's house is
`(80)/(1)`, then, we need to multiply the dimensions of her living room on the floor plan by
`(80)/(1)` in order to get the dimensions of her actual living room:

`(1.875\ in)((80)/(1))=150\ in\\\\(2.5\ in)((80)/(1))=200\ in`

Therefore, the dimensions of her actual living room are:

`150\ in` by
`200\ in`