Answer:
68 in^2
Explanation:
the shape is a trapezoid
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = x (sum of the lengths of the parallel sides) x height
the dimension of the height is not given. We have to determine the value of the height using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² = 6² + height²
100 = 36 + height²
height = 64
the square root of 64 is 8
the height is 8
1/2 x (8 + 9) x 8 = 68in^2