Respuesta :

kosar81

Answer:

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

[tex]\sqrt{160}[/tex]=Large side of a rectangle

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

[tex]\sqrt{40}[/tex]=small side of a rectangle

[tex]\sqrt{160} *\sqrt{40} =\sqrt{160*40} =80[/tex] 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

billgkgk

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.

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