# Lesson 6

Area of Parallelograms

### Problem 1

Which three of these parallelograms have the same area as each other? A:

A

B:

B

C:

C

D:

D

### Solution

For access, consult one of our IM Certified Partners.

### Problem 2

Which pair of base and height produces the greatest area? All measurements are in centimeters.

A:

$$b = 4$$, $$h=3.5$$

B:

$$b = 0.8$$, $$h=20$$

C:

$$b = 6$$, $$h=2.25$$

D:

$$b = 10$$, $$h=1.4$$

### Solution

For access, consult one of our IM Certified Partners.

### Problem 3

Here are the areas of three parallelograms. Use them to find the missing length (labeled with a "?") on each parallelogram.

A: 10 square units

B: 21 square units

C: 25 square units ### Solution

For access, consult one of our IM Certified Partners.

### Problem 4

The Dockland Building in Hamburg, Germany is shaped like a parallelogram. If the length of the building is 86 meters and its height is 55 meters, what is the area of this face of the building?

### Solution

For access, consult one of our IM Certified Partners.

### Problem 5

Select all segments that could represent a corresponding height if the side $$m$$ is the base. A:

e

B:

f

C:

g

D:

h

E:

j

F:

k

G:

n

### Solution

For access, consult one of our IM Certified Partners.

(From Unit 1, Lesson 5.)

### Problem 6

Find the area of the shaded region. All measurements are in centimeters. Show your reasoning. ### Solution

For access, consult one of our IM Certified Partners.

(From Unit 1, Lesson 3.)