200k views
0 votes
You are painting a door with a diamond shape shaped window as shown you have to put a tape around the edge of the window to keep the paint off find the length of tape you need to to the nearest inch

User Punjabi
by
7.8k points

1 Answer

3 votes

Answer:

104 inches

Explanation:

No window dimensions are given. We might assume that the shape of the window can be defined by these coordinates:

(18,64), (28,40), (18,16), (8,40)

A graph of the points reveals the window to be a rhombus, so we can figure the length of one side to determine the lengths of all sides.

On edge of the window will have a length determined by the distance formula:

d = √((x2 -x1)^2 +(y2 -y1)^2)

For (x1, y1) and (x2, y2) as (8, 40) and (18, 64), the edge length is ...

d = √((18 -8)^2 +(64 -40)^2) = √(10^2 +24^2) = √676

d = 26 . . . . . the length of one of the four edges

The total length of the four window edges is ...

4 × 26 = 104

104 inches of tape are needed.

You are painting a door with a diamond shape shaped window as shown you have to put-example-1
User Solarflare
by
6.7k points