Question

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.

Answer 1

Part 1) The dimensions of the actual object are
`50\ ft` by
`60\ ft`

Part 2) The area of the actual object is
`3,000\ ft^(2)`

Explanation:

Part 1)

we have that

The scale is equal to

`(0.5)/(10)(in)/(ft)`

rewrite the scale

`(10)/(0.5)(ft)/(in)`

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

so

`(10)/(0.5)(ft)/(in)*2.5\ in=50\ ft`

`(10)/(0.5)(ft)/(in)*3\ in=60\ ft`

Part 2)

Find the area

The area of rectangle is equal to

`A=LW`

substitute

`A=50*60=3,000\ ft^(2)`