9514 1404 393
Answer:
D. 74 units²
Explanation:
You can use the Pythagorean theorem to find the lengths of the sides. The short sides are each the hypotenuse of a 1 × 6 triangle, so their length is ...
√(1² +6²) = √37
The long sides are each the hypotenuse of a 2×12 triangle, so their length is ...
√(2² +12²) = 2√37
The area of the rectangle is the product of its length and width:
(2√37)(√37) = 2·37 = 74 . . . . square units