Find the area of the rectangle.

  D.  96 in²

Step-by-step explanation:

Each triangle is congruent to the others, so each has a side length of 8 and a hypotenuse of 10. The unknown side can be found from the Pythagorean theorem to be ...

  width = √(10² -8²) = √36 = 6

Then the area of the rectangle is ...

  area = length × width = (2·8 in)(6 in) = 96 in²

The area of the rectangle is 96 square inches.

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

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