Question

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B(1,5)
5
What is the area of
strapezoid ABCD
3
A(-3,2)
2
Enter your answer as a decimal or whole number in the box. Do
not round at any steps.
1
0
-5
4
3
-2
1
1.
2
3
4
6
units
D(
0-2)
-
C(7-3)
-5
1
2
3
4
5
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Answer 1

9514 1404 393

Answer:

  37.5 square units

Step-by-step explanation:

When the points are plotted on a graph, you can see that the sides of the trapezoid are the hypotenuse of a 3-4-5 right triangle (or multiple thereof). The grid lines make up the legs of the triangle, and the edge of the figure makes up the hypotenuse. Side BC is clearly twice as long as side AD.

The area formula for a trapezoid applies:

  A = 1/2(b1 +b2)h

  A = 1/2(5 +10)(5) = 1/2(75) = 37.5 . . . . square units area