Area of a Trapezoid

Area of a Trapezoid

Lesson Goals

• Determine the area of a trapezoid.

Lesson Standards

• 6.GM.4

  Find the area of complex shapes composed of polygons by composing or decomposing into simple shapes; apply this technique to solve real-world and other mathematical problems.

Mr. McCrory is plowing an area for his popcorn plants. The area measures

 $31\frac{1}{2}yds\ by\ 23\frac{1}{3}yds$  What is the total are of the plot that he will use to grow his popcorn?

• First make the mixed numbers into improper fractions

• Divide down and multiply. 

Multiple Choice

 $31\frac{1}{2}\cdot23\frac{1}{3}$  

What is this changed into improper fractions? 

•  $\frac{31}{2}\cdot\frac{23}{3}$  

•  $\frac{63}{2}\cdot\frac{70}{3}$  

•  $\frac{34}{2}\cdot\frac{27}{3}$  

Fill in the Blank

Mr. McCrory is plowing an area for his popcorn plants. The area measures $31\frac{1}{2}yds\ by\ 23\frac{1}{3}yds.$  What are the total square yards of the plot that he will use to grow his popcorn? Use yds to label the area (don't worry about the square it is already in the question). 

Finding the area of a trapezoid

• How would you find the area of this shape?

• We will revisit this one later. 

Trapezoid Area Formula

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

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

Multiple Select

Which two measurements can be used as the base 1 and base 2 for this trapezoid?

• 4m

• 5m

• 8m

Multiple Choice

What is the height of this trapezoid?

• 4m

• 5m

• 8m

Multiple Choice

What is the area of this trapezoid?

• $80m^2$

• $32.5m^2$

• $26m^2$

• $50m^2$

How did you do?

• If you got it wrong, what did you do wrong?

Multiple Choice

What is the area of this trapezoid?

• $22.5in^2$

• $81in^2$

• $45in^2$

• $162in^2$

How did you do?

• If you got it wrong, what did you do wrong?

Review: Trapezoid Area Formula

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

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

Poll

How would you describe finding the area of trapezoids?

• Easy

• Not bad

• Hard

• Confusing

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