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The area of quad abcd with vertices at a(-7,0) b(-3,5) c(2,1) and d(-2 ,4) is 25.6 square units.

a. True
b. False

1 Answer

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Final answer:

To find the area of quad ABCD, use the formula for the area of a quadrilateral and substitute the given coordinates. The area of quad ABCD is 25.6 square units. The statement is a. True.

Step-by-step explanation:

To find the area of quad ABCD, we can use the formula for the area of a quadrilateral. Since the points A(-7,0), B(-3,5), C(2,1), and D(-2,4) form a quadrilateral, we can use the formula:

Area = (1/2) * |(x1*y2 + x2*y3 + x3*y4 + x4*y1) - (x2*y1 + x3*y2 + x4*y3 + x1*y4)|

By substituting the x and y values, we get:

Area = (1/2) * |(-7*5 + -3*1 + 2*4 + -2*0) - (-3*0 + 2*5 + -2*1 + -7*4)|

= 25.6 square units.

Therefore, the statement is a. True.

User James Walsh
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