What is the area, in square centimeters of the shaded part of the rectangle shown below

The area of shaded region is 100 square centimeters.

An area is the amount of space taken up by a 2D shape or surface. The area of a shape is the number of unit squares required to completely cover it.

For the given situation,

The diagram shows the rectangle. In rectangle, some region is shaded and some region is left. The unshaded region is in the shape of the right triangle.

The area of shaded region = Area of rectangle - Area of triangle

The dimension for rectangle,

Length = 10 cm

Width = 14

The formula of area of rectangle = (length)(width)

The dimension for triangle,

Base = 10 cm

Height = 14 - 6

⇒ Height = 8 cm

The formula of area of triangle = 1/2 (base)(height)

On substituting the above values,

Thus area of shaded region = [tex](10)(14)-\frac{1}{2} (10)(8)[/tex]

⇒ [tex]140-40[/tex]

⇒ [tex]100[/tex]

Hence we can conclude that the area of shaded region is 100 square centimeters.

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