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Area, SM-Bank 039

The game of squash is played indoors on a court with a front wall, a back wall and two side walls, as shown in the image below.
 

 
Each side wall has the following dimensions.
 

The shaded region in the diagram above is considered part of the playing area.

Calculate the area, in square metres, of the shaded region in the diagram above. Round your answer to two decimal places.  (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

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\(32.66 \ \text{m}^2\)

Show Worked Solution
\(\text{Shaded Area (trapezium)}\) \(=\dfrac{h}{2}(a+b)\)
  \(=\dfrac{9.75}{2}\times (4.57 + 2.13)\)
  \(=32.6625\)
  \(= 32.66\ \text{m}^2 \ (2\ \text{d.p.)}\)

Filed Under: Quadrilaterals Tagged With: num-title-ct-core, smc-4943-40-Trapeziums

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