The figure is separated into triangles.
The triangle has a base of 8 inches and a hypotenuse of 10 inches.
Using the Pythagorean theorem solve for the height of the triangle:
10^2 = 8^2 + x^2
100 = 64 + x^2
x^2 = 100-64
x^2 = 36
x = √36
x = 6
The height of the triangle is the width of the rectangle and the length of the rectangle is 2 triangle bases ( 8 * 2 = 16)
Area of a rectangle is L x W = 6 x 16 = 96 square inches.
