Question

PARKS Anika is hiking on a rectangular trail at the national park. There are four resting spots along the corners of the trail. On the map, they are marked with coordinates of (-2, 2), (1, 2), (1, -2), and (-2, -2). If each unit represents 1 mile, find the perimeter of the trail in miles, using the coordinates.

Answer 1

Answer:

$14\ miles$

Step-by-step explanation:

Let

$A(-2, 2), B(1, 2), C(1, -2),D(-2, -2)$

Plot the coordinates

see the attached figure

we know that

The perimeter is equal to

$P=2(AB+AD)$

we have

$AB=(1-(-2))=3\ units$

$AD=(2-(-2))=4\ units$

substitute

$P=2(3+4)=14\ units$

Convert to miles

If each unit represents 1 mile

then

$14\ units=14\ miles$