Use the image to answer the question.An illustration shows a trapezoid with top side as 6 centimeters in hieght and bottom side as 10 centimeters. Two perpendicular dotted lines extend from the top vertices to the bottom side and are labeled 6 centimeters each. The two perpendicular lines are denoted by 4 right angle symbols.What is the area of the quadrilateral?(1 point)cm2
The area of the quadrilateral can be calculated by finding the area of the trapezoid and subtracting the area of the two right-angled triangles.
Area of trapezoid = (1/2) * (sum of parallel sides) * height
Area of trapezoid = (1/2) * (6 + 10) * 6
Area of trapezoid = (1/2) * 16 * 6
Area of trapezoid = 48 cm^2
Area of right-angled triangle = (1/2) * base * height
Area of one right-angled triangle = (1/2) * 6 * 6
Area of one right-angled triangle = 18 cm^2
Area of two right-angled triangles = 2 * 18 cm^2 = 36 cm^2
Area of quadrilateral = Area of trapezoid - Area of two right-angled triangles
Area of quadrilateral = 48 cm^2 - 36 cm^2
Area of quadrilateral = 12 cm^2
Therefore, the area of the quadrilateral is 12 cm^2.