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Sagot :

The area of the shaded part of the given figure is 60 square inches'

How to calculate the area of a composite shape.

The given figure is made up of a rectangle and 2 similar triangles

Area of the shaded part = Area of rectangle + area of 2 triangles

From the figure

Area of rectangle = 12 * 4 = 48 square in

Area of one triangle = 0.5(6)(4) = 12 square in

Area  of the figure = 48 + 12

Area  of the figure = 60 square inches'

Hence the area of the shaded part is 60 square inches.

Learn more on area of composite figure here: https://brainly.com/question/15981553