Question

Jamie needs to build a fence around his garden, as illustrated by polygon ABCDEF on the coordinate grid below. If each unit represents one yard, what is the total length of Jamie's fence in yards?
6
B
4
с
-6
4
- 2
0
4
6x
-64
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2:28 PM
9/22/2020

Answer 1

Answer:

26 yards

Step-by-step explanation:

The complete question is attached in the image below.

The distance between two points O($x_1,y_1$) and P($x_2,y_2$) is:

$|OP|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The location of the points of the polygon are as follows:

A(-5, 5), B(0. 5), C(4,2), D(1, -2), E(-2, -2), F(-5, 2). Therefore:

$|AB|=\sqrt{(0-(-5))^2+(5-5)^2}=5\ yards \\\\|BC|=\sqrt{(4-0)^2+(2-5)^2}=5\ yards \\\\|CD|=\sqrt{(1-4)^2+(-2-2)^2}=5\ yards \\\\|DE|=\sqrt{(-2-1)^2+(-2-(-2))^2}=3\ yards\\ \\|EF|=\sqrt{(-5-(-2))^2+(2-(-2))^2}=5\ yards \\\\|FA|=\sqrt{(-5-(-5))^2+(2-5)^2}=3\ yards$

The perimeter of the fence = |AB| + |BC| + |CD| + |DE| +  |EF| + |FA| = 5 + 5 + 5 + 3 + 5 + 3 = 26 yards.