Question

Patrick is riding his bike on a rectangular path around his city.

There is a rest area at each of the path's four corners.

• The city map shows the corners marked with coordinates of (2, 2), (1, 2), (1, -2), and (-2,-2).

Each unit represents 2.5 miles.

What is the perimeter of the path, in miles?

Answer 1

With the given coordinates it doesn't form a rectangle the correct set of the coordinates should be (2, 2), (1, 2), (1, -2), and (2,-2).

Answer:

The perimeter of the given rectangle that is formed by the given coordinates is 30miles.

Explanation:

We are given the Rectangular coordinates such as

(2,2) , (1,2) ,(1,-2) (2,-2)

we will mark these point on the cartesian planes to understand the rectangle

We can apply the distance formula or we can just look on the cartesian plane to simply get the distance between two points

we get

[(2,2) ,(1,2) ] and [(1,-2) ,(2,-2) ] are two units apart each pair as they are parallel so our width is

W = 2 units

similarly

we now need the length

(1,2) and (1,-2) are four units apart

so our length will be four units

L= 4 units

we need the perimeter

Perimeter of the rectangle = 2( L+W)

= 2( 2 + 4)

= 2* 6 = 12units

Now we are given that 1 unit is equal to 2.5 miles so 12 units will be

= 12* 2.5 = 30 miles

Therefore The perimeter of the given rectangle that is formed by the given coordinates is 30miles.