Answer:
28cm^2
Step-by-step explanation:
By splitting the shape into 2 separate rectangles, you can find that they would be 6cm by 3cm and 5cm by 2cm. doing length x width on both and adding them gives 28cm.
Given: k= midpoint
hk=x+6
hj=4x-6
Remember midpoint cuts the segment hj in equal parts that means hk=kj and hk+kj=hj
hk+hk=hj
2hk=hj
2hk=hj
2 (x+6)=(4x-6)
2x+12=4x-6
2x-2x+12=4x-2x-6
12=2x-6
12+6=2x-6+6
18=2x
18/2=2x/2
9=x
hk=kj=x+6=(9)+6=15
kj=15