Mark is installing a mosaic tile backsplash and the shape of the tiles are shaped like regular octagons. Each tile has a length
from side to side of 6 in. Once Mark gets a few pieces on the wall, he realized that there is a gap that the tiles do not cover. What size tile must he get to fill the gaps?
Tessellation is the arrangement of shapes in repeated patterns without gaps or overlapping.
Tessellation is usually done with regular polygons. Only three regular shapes can tessellate, these are equilateral triangle, regular square and regular hexagon. For other polygon to tessellate, more than one shape must be used. A octagon can be used to make tessellations if it is used together with a square.
Mark uses tiles with shape of octagon of sides 6 in. To fill the gaps, Mark have to uses a square with sides of 6 in
D is the best choice because y would be the total amount of money he would have to pay. X would be the amount of hours he uses the phone and the hourly fee is 23 so it would be 23x. the flat fee was 16 so you just add that on to the hourly fee. The whole equation should be y = 23x + 16