Solved:
Answered by AI, Verified by Human Experts
Find the area and perimeter of each composite figure
Find the area and perimeter of each composite figure
Theperimeterandareaof each of the composite figure is:a.Area:138.6 mm²;Perimeter= 50.27 mm.b.Area:120.5 cm²;Perimeter= 42.7 cmc.Area:521.1 mm²;Perimeter:95.8 mmWhat is the Area of a Circle, Triangle, and a Rectangle?Areaof a circle = πr²Areaof a triangle = 1/2(base)(height).Areaof a rectangle = (length)(width).What is the Perimeter of a Composite Figure?Theperimeterof a composite figure = the sum of all lengths of the sides surrounding the composite figure.a. Theareaof the composite figure =areaof rectangle +areaof two semicirclesTwo semicircles = 1 circleAreaof the rectangle = (15)(5) = 75 mm²Areaof the two semicircles = πr² = π(4.5²) = 63.6 mm²Theareaof the composite figure = 75 + 63.6 = 138.6 mm².Perimeter= 5(2) + 4(3) + (perimeterof 1 circle)Perimeter= 5(2) + 4(3) + (2πr)Perimeter= 5(2) + 4(3) + (2π(4.5))Perimeter= 50.27 mm.b.Area=areaof triangle +areaof square +areaof half circleArea= 1/2(base)(height) + s² + 1/2(πr²)Base = 5 cmHeight = 7 cms = √(7² + 5²) = 8.6 cm [Pythagorean theorem]r = 8.6/2 = 4.3 cmArea= 1/2(5)(7) + 8.6² + 1/2(π(4.3²))Area= 120.5 cm²Perimeter= 5 + 7 + 8.6 + 8.6 + (perimeterof half circle)Perimeter= 5 + 7 + 8.6 + 8.6 + 1/2(2πr)Perimeter= 5 + 7 + 8.6 + 8.6 + (2π(4.3))Perimeter= 42.7 cmc.Area=areaof triangle +areaof rectangle +areaof half circleArea= 1/2(base)(height) + (length)(width) + 1/2(πr²)Base = 32 - 20 = 12 mmHeight = 14 mmLength = 20 mmWidth = 14 mmr = 1/2(20) = 10 mmArea= 1/2(12)(14) + (20)(14) + 1/2(π(10²))Area= 521.1 mm²Perimeter= 14 + 32 + hypotenuse of the triangle + (perimeterof half circle)Hypotenuse = √(12² + 14²) = 18.4 mmPerimeterof half circle = 1/2(2πr) = 1/2(2π(10)) = 31.4Perimeterof the composite figure = 14 + 32 + 18.4 + 31.4Perimeterof the composite figure = 95.8 mmLearn more about thearea of composite figureson:brainly.com/question/15981553#SPJ1...