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What the perimeter of rectangle with vertices located at (-3,-1), (5, -1) (5,9) and (-3, 9) on the coordinate planes.

Sagot :

The perimeter of a rectangle is given by the formula:

[tex]P=2a+2b[/tex]

Where a is the length of the vertical sides and b the length of the horizontal sides.

Now let's visualize the figure in the cartesian plane:

To find the length of the side b, we use the formula:

[tex]b=x2-x1[/tex]

Where x2 and x1 are the x coordinates of the vertices of the bottom side.

To find the length of side a, we can use the formula:

[tex]a=y2-y1[/tex]

Where y2 and y1 are the y-coordinates of the vertices of the left side.

In this case:

x2=5 and x1= -3

y2=9 and y1= -1

Then we get:

[tex]b=5-(-3)=5+3=8[/tex][tex]a=9-(-1)=9+1=10[/tex]

Then the perimeter is:

[tex]P=2\times a+2\times b=2\times8+2\times10=36[/tex]

Then, the perimeter of the rectangle equals 36

View image GoldaK604475
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