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Area, SM-Bank 022 MC

Bruce has a square and a rectangle.

He cuts the rectangle along the dotted line as shown below.
 


 

Bryce then joins these 3 pieces to make a parallelogram.
 


 

Which of these calculations could Bryce use to find the area of the parallelogram?

  1. \(3\ \text{cm}\times 6\ \text{cm}\)
  2. \(6\ \text{cm}\times 9\ \text{cm}\)
  3. \(12\ \text{cm}\times 6\ \text{cm}\)
  4. \(21\ \text{cm}\times 3\ \text{cm}\)
Show Answers Only

\(B\)

Show Worked Solution
\(\text{Area}\) \(=\text{area of square}+\text{area of rectangle}\)
  \(=6\times 6+3\times 6\)
  \(=6\times (6+3)\)
  \(=6\times 9\)

 
\(\Rightarrow B\)

Filed Under: Quadrilaterals Tagged With: num-title-ct-core, smc-4943-20-Parallelograms

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