find the area pentagonal field shown alongside. all dimensions are in metres
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It is simple you just have to find the area of every triangle ...and its clear that all of them are right angle triangle ...you can simply use this formula AREA OF TRIANGLE= ½ x base x height
And then that last quadrilateral DFHE in this you already have the measure of the length of DF =20,FH=70,EH=30 so to find the area you will have to draw a perpendicular from D on the segment EH and name it E' AND THIS WILL MAKE IT A RECTANGLE WITH LENGTH 70 and breadth 20 ...Now u just have to subtract 30-20 which is equal to 10 and this is the base of your last triangle which will be DEE' now after you have found the area of every figure you just have to add them and this will give you the area of this figure ...
Area CGB =1750m
Area AGB = 2000m
Area EAH = 750m
Area DFC = 300m
Area DFHE' = 1400m
Area DEE' = 350m
Now 1750+2000+750+300+1400+350= 6550m
So the total area will be 6550m
And then that last quadrilateral DFHE in this you already have the measure of the length of DF =20,FH=70,EH=30 so to find the area you will have to draw a perpendicular from D on the segment EH and name it E' AND THIS WILL MAKE IT A RECTANGLE WITH LENGTH 70 and breadth 20 ...Now u just have to subtract 30-20 which is equal to 10 and this is the base of your last triangle which will be DEE' now after you have found the area of every figure you just have to add them and this will give you the area of this figure ...
Area CGB =1750m
Area AGB = 2000m
Area EAH = 750m
Area DFC = 300m
Area DFHE' = 1400m
Area DEE' = 350m
Now 1750+2000+750+300+1400+350= 6550m
So the total area will be 6550m
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