Calculate the area of triangle CDE with altitude EF, given C (3, −2), D (−1, 2), E (2, 3), and F (0, 1). 4 square units
6.2 square units
8 square units
8.7 square units

 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

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36

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