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10. rhombus abcd has vertices at a(-2, 7), b(8, 7), c(2, -1), and d (-8, -1).

determine the area of abcd.

1 Answer

7 votes

Answer: 80

Explanation:

We can use the formula
A=(d_(1)d_(2))/(2), where
d_(1), d_(2) are the lengths of the diagonals.

By the distance formula,


AC=\sqrt{(-2-2)^(2)+(-1-7)^(2)}=√(16+64)=4√(5)\\BD=\sqrt{(-8-8)^(2)+(-1-7)^(2)}=√(256+64)=8√(5)

So, the area is
((4√(5))(8√(5)))/(2)=\boxed{80}

10. rhombus abcd has vertices at a(-2, 7), b(8, 7), c(2, -1), and d (-8, -1). determine-example-1
User Wanderingme
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