Question 1168285
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Use the given information to write the area in terms of a single variable:<br>
x = length of upper base
x+2 = length of lower base (2cm longer than the upper base)
x+1 = height (1cm longer than the upper base)<br>
The area of a trapezoid is the average of the two bases, multiplied by the height.<br>
{{{(((x)+(x+2))/2)*(x+1) = 36}}}
{{{(x+1)^2 = 36}}}
{{{x+1 = 6}}}  [ignore the negative answer since it makes no sense in the problem]
{{{x = 5}}}<br>
ANSWERS: The bases are x=5cm and x+2=7cm; the height is x+1=6cm.<br>