What is the area of the trapezoid? The diagram is not drawn to scale.
The lower interior angles are marked congruent. Two dashed segments are graphed from the vertices of the top side to the lower side and are each marked perpendicular to the lower side. The top side equals 8 centimeters. The left dashed segment equals 6 centimeters. The right part of the lower side between the right dashed segment and the vertex is 4 centimeters.
(1 point)
Responses
48 cm2
48 cm 2
64 cm2
64 cm 2
72 cm2
72 cm 2
104 cm2
The area of a trapezoid can be calculated using the formula:
Area = (1/2) * (Sum of the lengths of the parallel sides) * (distance between the parallel sides)
In this case, the top side is 8 cm, the left dashed segment is 6 cm, and the right part of the lower side is 4 cm.
Sum of the lengths of the parallel sides = 8 cm + 4 cm = 12 cm
Distance between the parallel sides = 6 cm
Area = (1/2) * 12 cm * 6 cm = 36 cm * 6 cm = 72 cm^2
Therefore, the area of the trapezoid is 72 cm^2.
The correct answer is:
72 cm2