Given that the points (-1, 6), (3, 6), (3, 1), and (-1, 1) are vertices of a rectangle, how much shorter is the width than the length?

Respuesta :

check the picture below, you can pretty much count the units off the grid.
Ver imagen jdoe0001

Answer:

1 unit shorter

Step-by-step explanation:

By plotting the given points in the coordinate plane,

We get a rectangle ABCD having vertices,

A(-1,6), B (3,6), C (3,1), D (-1,1)

By the distance formula,

Shorter side or width of the rectangle,

[tex]AB=\sqrt{(3-(-1))^2+(6-6)^2}=\sqrt{4^2+0}=4\text{ unit}[/tex]

Longer side or length of the rectangle,

[tex]BC=\sqrt{(3-3)^2+(1-6)^2}=\sqrt{5^2}=5\text{ unit}[/tex]

The difference between length and width,

[tex]BC - AB = 5 - 4 = 1\text{ unit}[/tex]

Hence, the width of rectangle is 1 unit less than the length.

Ver imagen slicergiza