Work out the area of the rectangle.
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The hexagon is made up of 1 rectangle and 2 triangles
AREA OF RECTANGLE=length ×breadth
AREA OF TRIANGLE=1/2×base×height
length ×breadth=12×5=60cm^2
AREA OF RECTANGLE=60cm^2
total height is 13 cm
13-height of rectangle=height of 2 triangles
13-5=2x
8=2x
x=4
height of each triangle is 4 cm
base of triangle is 12 cm {given}
AREA=1/2×4×12
=24cm^2
Since there are two triangles 24×2=48cm^2
TOTAL AREA OF HEXAGON IS 60+48=108cm^2
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Answer:
the answer is 108
Step-by-step explanation:
- the area of rectangle =l × b =12 × 5 = 60
- give height of the hexagon as 13 so remove the values of rectangle as we already found the area I.e, 13 - 5= 8
- as the given triangles are identical ,height of each triangle will be 8/2 = 4
- now area of triangle = 1/2 × base × height = 1/2 ×12 ×4 = 24
- as both triangles are identical their area is also equal so 24 +24 = 48
- now add areas of triangles and reactagle =48 + 60 = 108
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