Question

Manny drew a picture of a cruise ship that he saw docked at Port Canaveral. He used the scale 1/4 in.: 32ft. If his picture is 9.25 inches long, what is the length, in feet, of the actual cruise ship?

Answer 1

We shall use the unitary method.

We shall convert the scale factor for 1 inch.

Here the scale factor given is 1/4 in : 32 ft.

This means 1/4 inches on the drawing represents 32 ft of the original.

Hence 1 inch shall represent

$\frac{32}{\frac{1}{4} }$

= 32 × 4 = 128 ft

So for 9.25 in it shall represent

=9.25 × 128

= 1,184 feet

The actual length of the cruise ship is 1,184 ft.

Answer 2

The answer is 1,184.