Question

What is the area of the trapezoid? The diagram is not drawn to scale.
An isosceles trapezoid segmented into a rectangle with two right triangles on either end. The top base of the trapezoid measures 8 cm, and the length of the base of one of the triangles measures 4 cm. The height of the trapezoid is 6 cm.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
104 cm 2

Answer 1

To find the area of the trapezoid, we can first find the lengths of the two bases.

Since the top base measures 8 cm, and the length of the base of one of the triangles measures 4 cm, the length of the bottom base can be found by subtracting twice the length of the triangle base from the top base:
Bottom Base = 8 cm - 2(4 cm) = 8 cm - 8 cm = 0 cm

Since the bottom base has a length of 0 cm, the trapezoid reduces to a rectangle with a height of 6 cm.

The area of a rectangle is given by the formula:
Area = Length × Width

Therefore, the area of the trapezoid is 8 cm × 6 cm = 48 cm².

Therefore, the correct answer is: 48 cm².