A rectangle on a coordinate plane has vertices at (7,5), (-7,5), (-7,-2), and (7,-2). What is the perimeter of the rectangle?

perimeter of a rectangle;

P=2l+2w

lets say the length is horizontal and the width is vertical. the distance between the x coordinates will determine the length and the distance between the y coordinates will determine the width. once you have those numbers you can use the perimeter formula.

|7 -(-7)| = 14
l = 14
|5-(-2)| = 7
w=7

P=2(14)+2(7)
P= 28+14
P= 42

Answer Link

codiepienagoya codiepienagoya · Answer 2 · 2021-08-19T19:40:01+02:00

The perimeter is a measure of the number around with a form that provides everyone a sense of a surface of the shape.
The entire distance of its exterior is the perimeter of the rectangle.
It is twice the length and width of this product and is computed using the formula:

[tex]\to \bold{Perimeter = 2 (length+width)}[/tex]

Given:

Coordinate of rectangle:

[tex]\to \bold{(7,5), (-7,5), (-7,-2), and (7,-2)}[/tex]

By using coordinates we calculating the length and width:

[tex]\to \bold{l=|7-(-7)|=|7+7| = |14|=14}\\\\\to \bold{w=|5-(-2)|=|5+2|=|7|= 7}[/tex]

[tex]\to \bold{Perimeter = 2 (length+width)}[/tex]

[tex]\bold{=2(14+7)}\\\\\bold{=2(14)+2(7)}\\\\\bold{=28+14}\\\\\bold{=42}\\\\[/tex]

Therefore, the perimeter of the rectangle is "42".

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