SOLUTION: eden made a rectangular mosaic using 256 one centimeter square tiles. she used exactly 80 cm wood to make the frame. what are the dimensions of her design?

Question 1052294: eden made a rectangular mosaic using 256 one centimeter square tiles. she used exactly 80 cm wood to make the frame. what are the dimensions of her design?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
we have two equations in 2 unknowns
:
let l be length and w be width, then
:
1) 2l + 2w = 80
:
2) l * w = 256
:
solve equation 1 for l
:
l = 40 - w
:
substitute for l in equation 2
:
(40 - w) * w = 256
:
-w^2 +40w -256 = 0
:
(-w +32) * (w -8) = 0
:
w = 32 or w = 8
:
**********************************
:
by convention length > width, so
:
length = 32 cm and width = 8 cm
:
**********************************
:

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