Lesson 6: Practice Problems

Problem 1

Here is a scale drawing of a swimming pool where 1 cm represents 1 m.

A scale drawing of a rectangular swimming pool.

  1. How long and how wide is the actual swimming pool?

  2. Will a scale drawing where 1 cm represents 2 m be larger or smaller than this drawing?

  3. Make a scale drawing of the swimming pool where 1 cm represents 2 m.

Problem 2

A map of a park has a scale of 1 inch to 1,000 feet. Another map of the same park has a scale of 1 inch to 500 feet. Which map is larger? Explain or show your reasoning.

Problem 3

On a map with a scale of 1 inch to 12 feet, the area of a restaurant is 60 in². Han says that the actual area of the restaurant is 720 ft². Do you agree or disagree? Explain your reasoning.

Problem 4

If Quadrilateral is a scaled copy of Quadrilateral created with a scale factor of 3, what is the perimeter of ?

A trapezoid labeled P. The parallel sides form the top and bottom of the shape. The length of the top side is labeled 7 units and the length of the bottom side is labeled 15 units. The two legs that join the two parallel sides together are each labeled 15 units

Problem 5

Triangle is a scaled copy of triangle . For each of the following parts of triangle , identify the corresponding part of triangle .

Two triangles labeled ABC and DEF. Triangle ABC has horizontal side AB with point B to the right of point A and point C is directly above side AB. Triangle DEF has horizontal side DE with point E to the right of point D and point F is directly above side DE.

  1. angle

  2. angle

  3. segment

  4. segment