The total area of the figure is 6.625 Units².
Given to us
- AP = 1.5 units
- BC = 2.5 units
- CQ = 2 units
- QD = 1 unit
- EQ = 1 unit
- PE = 1.5 units
As we can see in the given image there is a graph that shows the units as shown in the attached image.
Total Area of ABCDE
Now we know that the area of the figure ABCDE can be found out by dividing the figure into three parts as shown in the image below.
Area of ΔAPE
[tex]\begin{aligned}Area\ \triangle APE &= \dfrac{1}{2}\times AP \times PE\\&= \dfrac{1}{2}\times 1.5\times 1.5\\& = 1.125\ units^2\end{aligned}[/tex]
Area of ΔDEQ
[tex]\begin{aligned}Area\ \triangle DEQ&= \dfrac{1}{2}\times DQ\times EQ\\&= \dfrac{1}{2}\times 1\times 1\\& = 0.5\ units^2\end{aligned}[/tex]
Area of PBCQ
[tex]\begin{aligned}Area\ PBCQ&= QC\times BC\\&= 2\times 2.5\\& = 5\ units^2\end{aligned}[/tex]
Total Area
Total Area = Area of the ΔAPE + Area of the ΔDEQ + Area of PBCQ
= 1.125 + 0.5 + 5
= 6.625 Units²
Hence, the total area of the figure is 6.625 Units².
Learn more about the Area:
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