This figure consists of a rectangle and a quarter circle. what is the perimeter of this figure? use 3.14 for π . enter your answer as a decimal in the box. giving away lots of points

Step-by-step explanation:

we know that

The perimeter of the figure is equal to the perimeter of the rectangle plus the circumference of a quarter circle

so

Find the perimeter of the rectangle

The perimeter of rectangle is equal to

we have

substitute

Find the circumference of a quarter circle

we have

substitute

Find the perimeter of the figure

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

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