Lesson 11: 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 in to 1 ft
1 in to 1 m
1 in to 1 yd

Problem 2

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

1 to 12
$\frac{1}{12} to 1$
100 to 0.12
5 to 60
36 to 3
9 to 108

Problem 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?

Problem 4 From Unit 1 Lesson 3

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.

Problem 5 From Unit 1 Lesson 6

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?

Problem 6 From Unit 1 Lesson 5

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