Find the area of the hexagon ABCDEF given below
Given that: AD=8 cm, AJ = 6 cm, AI = 5 cm, AH = 3 cm, AG = 2.5 cm and FG, BH, EI and CJ are
perpendiculars on diagonal AD from the vertices F, B, E and C respectively.
Answers
Answer:
That's difficult but i can tell you some ways
Step-by-step explanation:
1)Find the area of AFG with AG = 2.5 cm, FG =3 cm and find AF by pythagoras
2) Repeat the procedure to find the area of triangle AHB, EID, JDC
3) For finding the area I'd the quadrilaterals FEGI and HJBC, draw perpendiculars from F and C to EI and HB respectively.
4) The length of perpendicular drawn from F to EI will be equal to GI ( you can take the difference of AI and AG ) and the length of the perpendicular from C will be equal to HJ ( AJ minus AH )
5) The remaining lengths of the bigger sides of the quadrilaterals will be one side of the newly formed triangle and it will be equal to one in both the cases.
6) Now you can find the area of the triangle and the rectangle by the formulas and their areas
7) Add the areas of all the polygon to get the area of the hexagon, hope it helps