In the figure ABC and XBY are isosceles triangles. AC=6 cm. And XY=4 cm. Find the area of the shaded region.

Answers

Answer 1

Answer: Area of the triangle is expressed by the product of the base and the height divided by two. This is from the idea that a parallelogram having an area of length times width can be divided yielding to two triangles.

Area of shaded region = Area of triangle ABC - Area of triangle XBY
Area of triangle ABC = (6) (6) / 2 = 18 cm^2
Area of triangle XBY = (4) (4) / 2 = 8 cm^2
Area of shaded region = 18 - 8 = 10 cm^2

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