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

Answer:

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

Part 2) The area of the actual object is $3,000\ ft^{2}$

Step-by-step explanation:

Part 1)

we have that

The scale is equal to

$\frac{0.5}{10}\frac{in}{ft}$

rewrite the scale

$\frac{10}{0.5}\frac{ft}{in}$

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

so

$\frac{10}{0.5}\frac{ft}{in}*2.5\ in=50\ ft$

$\frac{10}{0.5}\frac{ft}{in}*3\ in=60\ ft$

Part 2)

Find the area

The area of rectangle is equal to

$A=LW$

substitute

$A=50*60=3,000\ ft^{2}$