The figure shown is created by joining three rectangles. Enter the area of the figure, in square centimeters. Round to the nearest hundredth.

46.75 cm²

Step-by-step explanation:

The figure can be decomposed into 3 rectangles.

Area of the figure = area of rectangle A + area of rectangle B + area of rectangle C

✔️Area of rectangle A = L*W

L = 4 cm

W = 5½ cm = 5.5 cm

Area = 4*5.5 = 22 cm²

✔️Area of rectangle B = L*W

L = 8½ - (4 + 3) = 8½ - 7 = 1.5 cm

W = 5½ - 2 = 3.5 cm

Area = 1.5*3.5 = 5.25 cm²

✔️Area of rectangle C = L*W

L = 3 cm

W = 6½ cm = 6.5 cm

Area = 3*6.5 = 19.5 cm²

✔️Area of the figure = 22 + 5.25 + 19.5 = 46.75 cm²

3/6   and 9/18

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1