9514 1404 393
Answer:
8 square units
Step-by-step explanation:
The base of the triangle, CD, is 4 times the length of the diagonal of a grid square, so is 4√2. The height of the triangle, EF, is 2 times the length of the diagonal of a grid square, so is 2√2. The area is ...
A = (1/2)bh
A = (1/2)(4√2)(2√2) = 8 . . . . square units
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In case you don't know it already, the diagonal of a unit square can be found from the Pythagorean theorem:
d² = 1² + 1²
d = √2