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CBSE Class 8 Answered

Find the area of the polygon
question image
Asked by sj596827 | 29 Jul, 2020, 05:58: PM
answered-by-expert Expert Answer
There are 4 triangles in the polygon and they are
ABF, BCF, CDF, DEF
straight A open parentheses increment ABF close parentheses equals 1 half cross times AG cross times BF equals 1 half cross times 2 cross times 6.5 equals 6.5 space cm squared
straight A open parentheses increment BCF close parentheses equals 1 half cross times BH cross times CF equals 1 half cross times 4 cross times 7 equals 14 space cm squared
straight A open parentheses increment CDF close parentheses equals 1 half cross times DI cross times CF equals 1 half cross times 4 cross times 7 equals 14 space cm squared
straight A open parentheses increment DEF close parentheses equals 1 half cross times EJ cross times DF equals 1 half cross times 2 cross times 5 equals 5 space cm squared
Area space of space polygon space ABCDEF equals Sum space of space areas space of space all space 4 space triangles space equals space 6.5 plus 14 plus 14 plus 5 equals 39.5 space cm squared
Answered by Renu Varma | 30 Jul, 2020, 11:14: AM

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