Jan is making a logo for her company. She begins with a 6-cm-by-12-cm rectangle. Two points along the bottom side divide that side into three equal pieces. A point on the top side divides that side into two equal pieces. The logo itself is the total shaded area, as shown. What is the area of the shaded logo, in square cm?

Respuesta :

The area of a shape is the amount of space the shape occupies

The area of the shaded region in square cm is 48 square cm

How is the area of the logo calculated

The logo is a trapezoid with the following dimensions

  • Height = 12 cm
  • Parallel sides: 6 cm and 2 cm

The area of a trapezoid is:

Area = 0.5 * Height * (Sum of parallel sides)

Substitute known values

Area = 0.5 * 12 cm * (6cm + 2cm)

Evaluate

Area = 48 square cm

Hence, the area of the logo i.e. shaded region is 48 square cm

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