Activities

1.    Find the area of the triangle.  

2.    Find the area of the rectangle.
3.    Find the area of the trapezoid.  

4. A wall in the school gym is painted with a pattern.  What is the area of the shaded part of the wall?

5. The label on a can of paint states it contains enough paint to cover 22m².  If the wall is three meters high and eight meters long, will it cover the entire wall?  Explain.

6. Predict whether the trapezoid or parallelogram will have a larger area and why you think this.  Calculate the actual areas and evaluate your prediction.
   

   

7. The bathroom floor in your house is getting new tiles put in.  The new tiles dimensions are 1 foot by 2 feet.  The dimensions of the rectangular bathroom floor are 10 feet by 4 feet.  How many tiles would be needed to cover the bathroom floor?  Explain your answer

Answer Key/Rubric

1. 40 cm²

2. 45 in²

3. 100 ft²

4. The shaded area is a right triangle A = 150 in²

5. No

       Explanations may include, but are not limited to:

• Wall is a rectangle; use the formula A = bh
• Area of the wall is 24 m²
  
• Paint only covers 22 m², which is less than the area of the wall at 24 m² so it will not be enough.

6. Predictions will vary, but must include an explanation.

        Area calculations:

• Trapezoid = 32.5 ft²
  
• Parallelogram = 35 ft²
  
• The parallelogram has a larger area than the trapezoid.
• Students must evaluate their prediction based on the actual areas calculated.

7. The number of tiles needed to cover the bathroom floor is 20.

       Work might include, but is not limited to:

• Area of the tile = 2 ft²
  
• Area of the bathroom floor = 40 ft²
  
• Divide the total area of the bathroom floor by the area of each tile.  40 ÷ 2 = 20 tiles