the person who solves this question step by step will be marked as brainlist
Answers
ANSWER
side of the hexagon= 6cm
length of the total hexagon= 12cm
breadth of the total hexagon= 8cm
height of the hexagon= 4 Cm
in first case
here we can break the hexagon into three piece one is rectangle and other two are triangle ( you don't have to write this)
area of a rectangle= length × breadth
= 8cm × 6 Cm ( here length= 8 cm and breadth= 6 Cm)
= 48 cm
area of triangle= 1/2× base× height
= 1/2×8×6 ( here base = 8cm and height = 6cm)
= 1/2×48
=24cm
area of the hexagon= area of rectangle+ area of two triangle
= 48 cm + 24 cm
= 72 cm
in second case
here we can break the hexagon into two trapezium ( you don't have to write this)
area of a trapezium= 1/2× height × (sum of two parallel sides)
area of 2 trapezium= 2×1/2× height × (sum of two parallel sides)
=2×1/2×4×(6+12)
=1/2×2×4×18
=1/2×144
=72 cm
So the area of the hexagon is 72 cm.
Hope it's right.