Answer: The area of the shaded rectangle is 80 square units.
Step-by-step explanation: Break down the shapes. Add up the areas of the triangles around the sides and subtract from the larger rectangle.
The small triangles areas are A=6*2÷2, 12÷2=6 square units each.
The larger triangles have areas of 4 ×12 ÷2, so 24 square units each.
Add those areas: 6+6+24+24=60
Next, Figure out the area of the larger rectangle. Add the numbers on the sides. The length is 2+12=14. The width is 6+4=10
Multiply to get the area 14×10=140 square units.
Subtract the area of the triangles from the area of the larger rectangle to get the area of the shaded rectangle: 140-60=80 square units.
