The area of a trapezoid is calculated using the formula: A = (1/2)(a + b)h, where a and b are the lengths of the two parallel sides, and h is the height of the trapezoid (the distance between the two parallel sides).
Given:
Top side = 8 cm
Left dashed segment = 6 cm
Right part of the lower side = 4 cm
Using the Pythagorean theorem, we can find the height of the trapezoid:
h^2 = 6^2 - 4^2
h^2 = 36 - 16
h^2 = 20
h = √20 cm = 2√5 cm
Now we can calculate the area of the trapezoid:
A = (1/2)(8 + 4)(2√5)
A = (1/2)(12)(2√5)
A = 6 * 2√5
A = 12√5 cm2
Therefore, the area of the trapezoid is 12√5 cm2, which is approximately 27.71 cm2.
None of the given options match the correct answer.
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
64 cm2
72 cm2
104 cm2
1 answer
1 answer