Question

The coordinates of two vertices of a rectangle are (3,7) and (-4,7) . What isthe distance between the two vertices

Answer 1

The answer to your question is 7 units

Explanation:

Data

A = (3, 7)

B = (-4, 7)

Process

1.- Write the formula of the distance between two points

dAB =
`\sqrt{(x2 - x1)^(2)+ (y2 - y1)^(2)}`

x1 = 3 y1 = 7 x2 = -4 y2 = 7

2.- Substitute the values

dAB =
`\sqrt{(-4 - 3)^(2)+ (7 - 7)^(2)}`

3.- Simplify

dAB =
`\sqrt{(-7)^(2) + (0)^(2)}`

dAB =
`√(49)`

4.- Result

dAB = 7 units

5.- Conclusion

The distance between these points is 7 units.