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The vertices of a rectangle are A(-2, -4), B(-2, 6), and D(3, -4). Which expression shows how to find the length of the diagonal?

A. 10 units
B. 4 units
C. 8 units
D. 18 units

User Mabi
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1 Answer

5 votes

Final answer:

The expression that shows how to find the length of the diagonal is 5 units.

Step-by-step explanation:

To find the length of the diagonal of a rectangle, we can use the distance formula.

The distance formula is given by d = sqrt((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of two points. In this case, we can use the coordinates A(-2, -4) and D(3, -4) to find the length of the diagonal.

Plugging the values into the distance formula, we get d = sqrt((3 - (-2))^2 + (-4 - (-4))^2), which simplifies to d = sqrt(5^2 + 0^2), and further simplifies to d = sqrt(25 + 0), and finally d = sqrt(25) = 5 units.

User Itamaram
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