The area of the trapezoid in the given image is: 49 cm².
A trapezoid can be described as a quadrilateral that has four sides, whereby one pair of opposite sides are parallel to each other.
The area of a trapezoid is calculated using the formula, Area = 1/2 × (a + b) × h, where:
a and b represents lengths of the parallel sides of the trapezoid
h = height of the trapezoid.
Given the parameters for the trapezoid as:
a = 6 cm
b = 8 cm
h = 7 cm
Plug in the values into Area = 1/2 × (a + b) × h:
Area of trapezoid = 1/2 × (6 + 8) × 7
Area of trapezoid = 1/2 × (14) × 7
Area of trapezoid = 7 × 7
Area of trapezoid = 49 cm²
Thus, the area of the trapezoid in the given image is: 49 cm².
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