Question

A rectangular swimming pool measures 50 meters in length and 25 meters in width. Make a scale drawing of the swimming pool where 1 centimeter represents 5 meters.A scale drawing of a school bus has a scale of 1/2 inch to 5 feet. If the length of the school bus is 4 1/2 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning

Answer 1

Part A) In the scale drawing the length of the swimming pool is 10 cm and the width is 5 cm

Part B) The actual length of the bus is 45 ft

Explanation:

Part A) Make a scale drawing of the swimming pool where 1 centimeter represents 5 meters

we know that

The scale is
`(1)/(5) (cm)/(m)`

To find out the dimensions of the pool in the scale drawing, multiply the actual dimensions by the scale factor

Find the length in the scale drawing

`(1)/(5) (cm)/(m)(50\ m)=10\ cm`

Find the width in the scale drawing

`(1)/(5) (cm)/(m)(25\ m)=5\ cm`

Part B) What is the actual length of the bus?

we know that

The scale is
`(0.5)/(5) (in)/(ft)=0.1(in)/(ft)`

The length of the school bus is 4 1/2 inches on the scale drawing

To find out the actual length of the bus, divide the length in the scale drawing by the scale

Convert mixed number to an improper fraction

`4(1)/(2)\ in=(4*2+1)/(2)=(9)/(2)\ in`

Find the actual length of the bus

`((9)/(2)\ in)/(0.1(in)/(ft))=45\ ft`