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.
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
1 answer