# Lesson 6

Area of Parallelograms

Let's practice finding the area of parallelograms.

### Problem 1

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

A

B

C

D

### Problem 2

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

\(b = 4\), \(h=3.5\)

\(b = 0.8\), \(h=20\)

\(b = 6\), \(h=2.25\)

\(b = 10\), \(h=1.4\)

### 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

### 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?

### Problem 5

Select **all** segments that could represent a corresponding height if the side \(m\) is the base.

e

f

g

h

j

k

n

### Problem 6

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