A quadrilateral is a polygon with 4 number of sides and 4 vertices. The area of the composite figure is 787.5 cm².
What is a quadrilateral?
A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.
The area of the composite figure is the sum of the area of the parallelogram ABCD and the area of the trapezoid CDFE.
The area of the parallelogram ABCD is the product of its base and its height, therefore, the product of AP and AD.
[tex]\rm Area\ ABCD = 14 \times 23 = 322\ cm^2[/tex]
The area of the trapezoid is half the product of the sum of its bases and its altitude, therefore, half the product of the sum of DC and EF and the CQ.
[tex]\rm Area\ CDFE = \dfrac{1}{2} \times (15+34) \times 19= 465.5\ cm^2[/tex]
Hence, the area of the composite figure is 787.5 cm².
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