Respuesta :

The Figure contains a trapezium and a semicircle. The area of the figure would be the sum of the area of the trapezium and the area of the semicircle. The formula for finding the area of a trapezium is expressed as

Area = 1/2(a + b)h

where

a and b are the length of the parallel sides of the trapezium

h = height of trapezium

From the diagram,

a = 13

b = 6

h = 8

Area = 1/2(13 + 6)8

Area = 76

The formula for finding the area of a semicircle is expressed as

Area = 1/2 x pi x radius^2

pi = 3.14

diameter = 6

radius = diameter/2 = 6/2

radius = 3

Area = 1/2 x 3.14 x 3^2

Area = 14.13

Area of figure = 76 + 14.13

Area of figure = 90.1