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.

add all the sides up 20+2+2+11+3.14

Step-by-step explanation:

Work Shown:

The bottom most horizontal portion is 2 cm long since opposite sides of a rectangle are the same length. The right-most vertical piece, toward the bottom, is 20-11 = 9 cm long.

The curved piece represents 1/4 of the distance around a full circle of radius 11. So we'll need to find the circumference of the full circle of radius 11.

C = 2*pi*r

C = 2*3.14*11

C = 69.08

Then divide by 4 to get 69.08/4 = 17.27

The curved piece is roughly 17.27 cm long.

We have these 6 pieces that make up the full perimeter

Adding those 6 pieces leads to: 2+20+2+9+11+17.27 = 61.27

The perimeter is 61.27 cm. This value is approximate since pi = 3.14 is approximate.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: