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2 answers:
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we know that
The hallway is painted using equal amounts of white and black paint
so
To know the amount of white paint------> calculate the area of white paint
To know the amount of black paint------> calculate the area of black paint
equate the areas
<u>Find the length of the hallway</u>
therefore
<u>the answer part a) is</u>
The hallway is long
<u>Part b) </u>Can this same hallway be painted with the same pattern, but using twice as much black paint as white paint?
we know that
the amount of white paint is
if the black paint is twice that the white paint
then
amount of black paint is
amount of black paint with the same pattern is
equate
(24+24x)\ ft^{2}=(60x)\ ft^{2}
solve for the new value of x
<u>Find the new length of the hallway</u>
therefore
<u>the answer is</u>
Yes, the same hallway can be painted with the same pattern, using twice as much black paint as white paint, but the hallway decreases in length