Question 1023719
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A queen sized mattress is 20 inches longer than it is wide. A king-sized mattress is 16 inches wider 
than the queen sized mattress but has the same length. The area of the king-sized mattress is 1280 square inches 
more than that of the queen-sized mattress. 
Part A: Write an equation that can be used to determine the area of the king-sized mattress. Define all variables used. 
Part B: Determine the dimensions of the king-sized and queen-sized mattress. Show your work!

Thanks in advance, 
Emily
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Let x = width of the queen sized mattress.

Then the queen sized mattress is x*(x+20) inches square.

The king sized mattress is (x+16)*(x+20) inches square.

Your equation is 

(x+16)*(x+20) - x*(x+20) = 1280.

Simplify it, taking out (x+20) factor first:

(x+20)*(x + 16 - x) = 1280,

16*(x+20) = 1280,

x + 20 = {{{1280/16}}} = 80,

x = 80-20 = 60.
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