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.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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