Question 1177486
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Draw perpendicular AE from A to side CD.<br>
Let CE=x so BE=132-x; let the length of AE be y.<br>
Then right triangles AEC and AEB give us<br>
{{{x^2+y^2 = 37^2}}}  [1]
{{{(132-x)^2+y^2 = 125^2}}}  [2]<br>
Expand [2]:<br>
{{{132^2-264x+x^2 = 125^2}}}  [3]<br>
Subtract [1] from [3]:<br>
{{{132^2-264x = 125^2-37^2}}}<br>
Use a calculator and basic algebra to find x; then use [1] to find y.<br>
Then the area of the parallelogram is base times height, which is 132 times y.<br>
One of the given answer choices is correct....<br>