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Find area of the composite figure

Find area of the composite figure-example-1
User Pretzelb
by
8.0k points

1 Answer

4 votes

Answer:

517 sq. cm

Explanation:

Area of the figure = area of triangle + area of semicircle

Area of semi circle = πr²/2

Area of semi circle = 3.14*15²/2

Area of semi circle = 353.25 sq.cm

Area of the triangle = a/2 * base * height

Base = 30cm

Height h² = 39² - 15²

h² = 1521 - 225

h² = 1296

h = 10.90cm

Area of triangle = 1/2 * 10.90 * 30

Area of triangle = 15 * 10.90

Area of triangle = 163.5 sq. cm

Area of figure = 353.25 + 163.5

Area of figure = 516.75 sq. cm

Area of figure = 517 sq. cm

User Reaper
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