contestada

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

Respuesta :

Answer: Option B.

Step-by-step explanation:

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

[tex]1\ \frac{7}{8}\ in[/tex] by  [tex]2\ \frac{1}{2}\ in[/tex]

We can convert from mixed numbers to decimal numbers:

[tex]1\ \frac{7}{8}\ in=(1+0.875)\ in=1.875\ in[/tex]

 [tex]2\ \frac{1}{2}\ in=(2+0.5)\ in=2.5\ in[/tex]

We know the scale drawing of the floor plan of Trinity's house is [tex]\frac{80}{1}[/tex], then, we need to multiply the dimensions of her living room on the floor plan by  [tex]\frac{80}{1}[/tex] in order to get the dimensions of her actual living room:

[tex](1.875\ in)(\frac{80}{1})=150\ in\\\\(2.5\ in)(\frac{80}{1})=200\ in[/tex]

Therefore, the dimensions of her actual living room are:

[tex]150\ in[/tex] by [tex]200\ in[/tex]