Lesson 7: Practice Problems

Problem 1

A scale drawing of a car is presented in the following three scales. Order the scale drawings from smallest to largest. Explain your reasoning. (There are about 1.1 yards in a meter, and 2.54 cm in an inch.)

  1. 1 in to 1 ft

  2. 1 in to 1 m

  3. 1 in to 1 yd

Problem 2

Elena finds that the area of a house on a scale drawing is 25 square inches. The actual area of the house is 2,025 square feet. What is the scale of the drawing?

Problem 3

Which scales are equivalent to 1 inch to 1 foot? Select all that apply.

  1. 1 to 12

  3. 100 to 0.12

  4. 5 to 60

  5. 36 to 3

  6. 9 to 108

Problem 4

Which of these scales are equivalent to 3 cm to 4 km? Select all that apply. Recall that 1 inch is 2.54 centimeters.

  1. 0.75 cm to 1 km

  2. 1 cm to 12 km

  3. 6 mm to 2 km

  4. 0.3 mm to 40 m

  5. 1 inch to 7.62 km

Problem 5

These two triangles are scaled copies of one another. The area of the smaller triangle is 9 square units. What is the area of the larger triangle? Explain or show how you know.

Small triangle has a height of 3. Large triangle has a height of 6.

Problem 6

Figures R, S, and T are all scaled copies of one another. Figure S is a scaled copy of R using a scale factor of 3. Figure T is a scaled copy of S using a scale factor of 2. Find the scale factors for each of the following:

  1. From T to S

  2. From S to R

  3. From R to T

  4. From T to R