Area of a Trapezoid

Finding the Area of a Trapezoid with Missing Information

Lesson Goals

• Determine the height of a trapezoid when given the area and the measures of the bases.

• Solve real world problems related to the area of a trapezoid.

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.

Test coming up on Friday!

Also, end of the grading period next Friday.

Multiple Select

What is the formula for finding the area of a triangle?

• $$A=bh$$

• $$A=\frac{1}{2}bh$$

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

• $$A=\frac{bh}{2}$$

Multiple Select

What is the formula for finding the area of a parallelogram?

• $$A=bh$$

• $$A=\frac{1}{2}bh$$

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

• $$A=\frac{bh}{2}$$

Multiple Select

What is the formula for finding the area of a trapezoid?

• $$A=bh$$

• $$A=\frac{1}{2}bh$$

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

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

• $$A=\left(b_1+b_2\right)h\div2$$  

How would you find the area to this shape?

• What is the formula for finding the area of this type of shape?

• What are the lengths of the bases?

Multiple Select

What are the lengths of both bases of this shape?

• 3m

• 5m

• 9m

• 15m

Multiple Select

What is the height of this shape?

• 3m

• 5m

• 9m

• 15m

Multiple Select

Which equation represents a way to find the area of this shape?

• $$A=\left(15+9\right)5$$

• $$A=\frac{1}{2}\left(15\cdot9\right)5$$

• $$A=\frac{1}{2}\left(15+9\right)5$$

• $$A=\frac{\left(15+9\right)5}{2}$$

Multiple Select

What is the area of this shape?

• $$A=12m^2$$  
  

• $$A=24m^2$$  
  

• $$A=60m^2$$  
  

• $$A=120m^2$$  
  

• $$A=337.5m^2$$  

Multiple Select

What are the bases of this trapezoid? Choose all that apply.

• We don't know? 

• 6mi

• 10 mi

• $$56mi^2$$  

Multiple Choice

What is the area of this trapezoid?

• We don't know? 

• 6mi

• 10 mi

• $$56mi^2$$  

Multiple Select

Which formula helps to find the height of this trapezoid?

• $$56mi^2=\frac{\left(10\cdot6\right)5}{2}$$  
  

• $$56mi^2=\left(10+6\right)h$$  
  

• $$56mi^2=\frac{1}{2}\left(10+6\right)h$$  
  

•   $$56mi^2=\left(10+6\right)h\ \div2$$  

Multiple Choice

What is the height of this shape?

• $$7mi$$  

• $$7mi^2$$  
  

•   $$1.87mi$$  
  

• $$0.93mi$$  
  

Poll

How do you feel about finding missing information when working with trapezoids and area?

• Lemon Squeezy

• I can figure it out.

• I am still a little blurry

• I don't get this at all.

Go do 3.10 Quiz right now!

It's due by tomorrow at 10:30am