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3 votes
(04.03 MC)

What is the area of trapezoid DEFG with coordinates D (2, 3), E (4, 3), F (6, 1), and G (2, 1)?

12 square units
8 square units
6 square units
3 square units

1 Answer

5 votes

We can start by plotting the points on a coordinate plane and then drawing the trapezoid:

```

G (2,1) F (6,1)

+--------------+

| |

| |

| |

D (2,3) E (4,3)

```

We can see that the trapezoid has a base of length 4 (the distance between points D and E), and a height of 2 (the distance between points E and F, or D and G).

Therefore, the area of the trapezoid is:

```

(1/2) * (base1 + base2) * height

= (1/2) * (4 + 4) * 2

= 8

```

So the area of trapezoid DEFG is 8 square units. Therefore, the answer is (B) 8 square units.

User Dnch
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