Area of a Parallelogram

Area of a Parallelogram

By Courtney Tout

Area of a Rectangle is very similar to the Area of a parallelogram.

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Let's Review:

Multiple Choice

What is the length or base?

• 7 in

• 77 in

• 11 in

• 56 in

Multiple Choice

What is the width or height?

• 7 in

• 77 in

• 11 in

• 56 in

Multiple Choice

Use the formula: $$A=b\times h$$   to find the area of the rectangle to the left.

• $$7in^2$$  

• $$77in^2$$  

• $$11in^2$$  

• $$56in^2$$  

​We can rearrange the parallelogram so that it makes a rectangle!

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This means that we can use the same FORMULA!!​ 😀

​​Let's Watch a small demo

Multiple Choice

What is the formula to find the area of a parallelogram?

• $$A=\frac{bh}{2}$$  

• $$A=bh$$  

• $$A=s^2$$  

• $$A=\frac{1}{2}\left(b_1+b_2\right)h$$  

We have the following parallelogram.

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As we can see we have a bottom length or base of 6 units. The height is 3 units tall.​

Example application of using the formula

Example 1

1. Identify what we know:

   b = 6 units h = 3 units

2. Plug into Equation

   A = 6 x 3

3. Solve

   A = 18 units²

Multiple Choice

Identify the base and height of the parallelogram.

• B = 15 cm

  H = 5 cm

• B = 10 cm

  H = 5 cm

• B = 5 cm

  H = 1 cm

• B = 20

  H = 10

Multiple Choice

Determine the Area of the Parallelogram: $$A=b\times h$$  

• 50cm^2

• 75cm^2

• 5cm^2

• 200cm^2

Poll

Determine the base and height of the parallelogram.

• B = 11 cm

  H = 5 cm

• B = 7

  H = 7

• B = 9

  H = 9

• B = 9

  H = 7

Multiple Choice

Determine the Area of the parallelogram:

$$A=b\times h$$  

• 55cm^2

• 60cm^2

• 63 cm^2

• 66cm^2

Multiple Choice

Determine the Area of the parallelogram:

$$A=b\times h$$  

• 18m^2

• 12cm^2

• 6.5cm^2

• 8.5cm^2

Multiple Choice

Determine the Area of the parallelogram:

$$A=b\times h$$  

• 17m^2

• 60m^2

• 34cm^2

• 52cm^2