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Question

An interior designer is hired to paint an argyle pattern on a wall that 19 feet long and 10 feet high. She determines that she will need 4 rows of 6 rhombuses each with no partial shapes.Determine the amount of area that she will need to cover with paint.

Answer 1

If your suggested Argyle pattern contains the typical three different hues or value shifts of colored Rhombus within a tesselating Rhombus full pattern then there will always be partial shapes.

I think what you are asking is for the grid to contain 6 full Rhombuses across, and four down each column, correct?

With that set of main Rhombuses, you have to have a top and bottom row of 1/2 rhombuses, as well as leftmost and rightmost columns of 1/2 rhombuses.

I also need to know if 1 of the 3 colors or shades of a color will be the original wall color. If you intend to have each of the three rhombus colors be a newly painted hue, then you simply need however much wall paint will cover the area of this rectangle divided by the proportion of each colored Rhombus group.

Let me know the details, and I can happily solve this problem :) .

To recap:

-How many different hues or values are you needing for the different Rhombuses?

-Is 1 of the sets of Rhombuses going to be left unpainted as the original wall color?

-Ms. Blum