Question

Need help with this. Hope someone can help

Answer 1

First, convert all of the cm measurements to m measurements (so they are all the same unit measurement)

2000 cm = 20 m         800 cm = 8m    

Total Perimeter (Note that circumference of a semi-circle is 2 π r/2 = π r)

Add up the lengths of all of the outside edges. I am going to start on the top and move counter-clockwise:

40 + π (10) + 8 + 25 + 8 + (40 - 25 - 10) + 8 + 10 + 8 + π(10)

= 40 + 10π + 41 + (5) + 26 + 10π

= 112 + 20π

= 112 + 62.8

= 174.8

Answer: 174.8 m

Total Area

Split the picture into 5 sections (2 semi-circles, top rectangle, bottom left rectangle, and bottom right rectangle).  Find the area for each of those sections and then add their areas together to find the total area.

2 semi-circles is 1 Circle: A = π · r²  ⇒ A = π(20/2)² =  π(10)²  = 100π  ≈  314

top rectangle: A = L x w  ⇒  A = 40 x 20  = 800

bottom left rectangle: A = L x w  ⇒  A = 25 x 8  = 200

bottom right rectangle: A = L x w  ⇒  A = 10 x 8  = 80

Total = 314 + 800 + 200 + 80  = 1394

Answer: 1394 m²