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

26 yards

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|=√((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|=√((0-(-5))^2+(5-5)^2)=5\ yards \\\\|BC|=√((4-0)^2+(2-5)^2)=5\ yards \\\\|CD|=√((1-4)^2+(-2-2)^2)=5\ yards \\\\|DE|=√((-2-1)^2+(-2-(-2))^2)=3\ yards\\ \\|EF|=√((-5-(-2))^2+(2-(-2))^2)=5\ yards \\\\|FA|=√((-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.