A rectangular model uses a scale of 0.5 inch=10 feet.if the dimensions of the model are 2.5 inches by 3 inches. Find the dimensions of the actual object and find the area of the actual object.

Respuesta :

Answer:

Part 1) The dimensions of the actual object are [tex]50\ ft[/tex]  by  [tex]60\ ft[/tex]

Part 2) The area of the actual object is [tex]3,000\ ft^{2}[/tex]

Step-by-step explanation:

Part 1)

we have that

The scale is equal to

[tex]\frac{0.5}{10}\frac{in}{ft}[/tex]

rewrite the scale

[tex]\frac{10}{0.5}\frac{ft}{in}[/tex]

To find the dimension of the actual object multiply the scale by the dimensions of the model

so

[tex]\frac{10}{0.5}\frac{ft}{in}*2.5\ in=50\ ft[/tex]

[tex]\frac{10}{0.5}\frac{ft}{in}*3\ in=60\ ft[/tex]

Part 2)

Find the area

The area of rectangle is equal to

[tex]A=LW[/tex]

substitute

[tex]A=50*60=3,000\ ft^{2}[/tex]