Find the area of the rectangle.
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Answer:
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.