Grade 7 | Unit 1 | Lesson 11: Scales without Units | Practice Problems

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 in to 1 ft

• 1 in to 1 m

• 1 in to 1 yd

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

• 1 to 12

• \(\frac{1}{12}\text{ to }1\)

• 100 to 0.12

• 5 to 60

• 36 to 3

A model airplane is built at a scale of 1 to 72. If the model plane is 8 inches long, how many feet long is the actual airplane?

Quadrilateral A has side lengths 3, 6, 6, and 9. Quadrilateral B is a scaled copy of A with a shortest side length equal to 2. Jada says, “Since the side lengths go down by 1 in this scaling, the perimeter goes down by 4 in total.” Do you agree with Jada? Explain your reasoning.

Polygon B is a scaled copy of Polygon A using a scale factor of 5. Polygon A’s area is what fraction of Polygon B’s area?

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: From T to S, From S to R, From R to T, From T to R.