Find the area of the trapezoid. Leave your answer in simplest radical form. The figure is not drawn to scale.
A trapezoid is shown. Its shorter base is at the top of the image and its length is 12 centimeters. The trapezoid’s height is 6 centimeters. Vertical dotted lines are drawn through the trapezoid dividing it into two right triangles and a rectangle. The triangle on the left side of the trapezoid has an angle at the bottom left corner labeled 45 degrees. The triangle on the right side of the trapezoid has its horizontal side at the bottom of the triangle labeled 2 centimeters.
(1 point)
Responses
84 cm2
84 cm 2
96 cm2
96 cm 2
72 cm2
72 cm 2
108 cm2
To find the area of a trapezoid, you can use the formula: A = (1/2)(b1 + b2)(h), where b1 and b2 are the lengths of the bases and h is the height.
In this case, b1 = 12 cm, b2 = 2 cm, and h = 6 cm.
Plugging in the values, we get:
A = (1/2)(12 + 2)(6) = (1/2)(14)(6) = 42 cm^2
Therefore, the area of the trapezoid is 42 cm^2.