My life is on the LINE help me!

(12^2)+(4^2)=160

=Large side of a rectangle

(2^2)+(6^2)=40

=small side of a rectangle

area

Step-by-step explanation: 12*4=48/2=24Large triangle area

2*6=12/2=6 small triangle area

Two large triangles=2*24=48

two small triangle=2*6=12

48+12=60

Largerectangle area=14*10=140

140-60=80

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.

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.