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Area, SM-Bank 026 MC

David's backyard is in shape of a rectangle and has an area of \(50\ \text{m}^2\).

Tim's backyard is also rectangular but with side lengths that are double those of David's backyard.

What is the area of Tim's backyard.

  1. \(25\ \text{m}^2\)
  2. \(100\ \text{m}^2\)
  3. \(200\ \text{m}^2\)
  4. \(300\ \text{m}^2\)
Show Answers Only

\(C\)

Show Worked Solution

\(\text{Let the dimensions of David’s yard be:}\ \ x, y\)

\(\text{Area} =x\times y\)

  
\(\Longrightarrow\ \text{Tim’s yard’s dimensions are:}\ \ 2x, 2y\)

\(\text{Area}\) \(=2x\times 2y\)
  \(=4\times xy\)
  \(= 4\times 50\)
  \(= 200\ \text{m}^2\)

 
\(\Rightarrow C\)