The area of the shape is 396 square cm.
What is a rectangle?
A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.
For the given situation,
The diagram shows the polygon.
Let us consider the polygon as two rectangles as opposite sides are parallel and all the angles are right angle as shown below.
The rectangle ABCD has the dimensions length is 10 cm and breadth is 27 cm.
The rectangle DEFG has the dimensions length is 14 cm and breadth is 9 cm.
Thus the area of the polygon is the sum of areas of rectangle ABCD and DEFG.
The formula of area of rectangle, [tex]A =( length)(breadth)[/tex]
Then total area of the shape is
⇒ [tex](27)(10)+(14)(9)[/tex]
⇒ [tex]270+126[/tex]
⇒ [tex]396[/tex]
Hence we can conclude that the area of the shape is 396 square cm.
