Chloe is putting up a wallpaper border in her room. She has drawn a sketch on a coordinate grid. The diagram is shown below.
How many feet of border should Chloe buy?

A) 38 feet
B) 42 feet
C) 80 feet
D) 88 feet

Given:

The figure of a wallpaper border.

To find:

The total required border.

Solution:

The given figure has 8 vertices and 8 edges (sides).

From the given figure it is clear that the length ( in feet) of 8 edges of the figure are 12, 2, 2, 2, 2, 3, 12, 7.

We need to find the total required border. So, we have to find the perimeter of the figure.

Add the lengths of all edges to get the perimeter of the given figure.

So, Chloe should buy 42 feet of border.

Therefore, the correct option is B.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

step-by-step explanation:

the answer is 128