drose2706 drose2706
  • 27-01-2021
  • Mathematics
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nuuk nuuk
  • 01-02-2021

Answer: [tex]215\ cm^2[/tex]

Step-by-step explanation:

Given

Here the given figure can be divided into two shapes i.e. rectangle and a trapezium

For rectangle ABCD Area = [tex]10\times8=80\ cm^2[/tex]

Area of trapezium CEFD Area is [tex]\frac{1}{2}[\text{sum of non-parallel sides}]\times[\text{distance between them}][/tex]

[tex]\Rightarrow \frac{1}{2}\times [10+17][10]=135\ cm^2[/tex]

Total shaded area [tex]=80+135=215\ cm^2[/tex]

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