Question

I am creating a garden that is rectangular. If the following ordered pairs are

the corners, what is the perimeter of my garden?
(-7, 10), (-7, 2), (4, 10), (4, 2)

Answer 1

the perimeter of the garden is 38 units.

To find the perimeter of the garden, we need to add up the lengths of all four sides.
Starting with the bottom side, we can use the coordinates (-7, 2) and (4, 2).

Answer 2

Answer: the perimeter of the garden is 38 units.

Step-by-step explanation:To find the perimeter of the garden, we need to add up the lengths of all four sides.

Starting with the bottom side, we can use the coordinates (-7, 2) and (4, 2). The distance formula tells us that the distance between these two points is:

d = √[(4 - (-7))^2 + (2 - 2)^2]

= √[11^2 + 0^2]

= √121

= 11

So the bottom side has a length of 11.

Moving to the right side, we can use the coordinates (4, 2) and (4, 10). Again using the distance formula, we get:

d = √[(4 - 4)^2 + (10 - 2)^2]

= √8^2

= 8

So the right side has a length of 8.

For the top side, we can use the coordinates (4, 10) and (-7, 10):

d = √[(-7 - 4)^2 + (10 - 10)^2]

= √11^2

= 11

So the top side also has a length of 11.

Finally, for the left side, we can use the coordinates (-7, 10) and (-7, 2):

d = √[(-7 - (-7))^2 + (2 - 10)^2]

= √8^2

= 8

So the left side has a length of 8.

Adding all four side lengths together, we get:

Perimeter = 11 + 8 + 11 + 8

= 38