SOLUTION: he area of a trapezium is 1400 cm2. Its altitude is 50 cm. Find the two bases, if the number of cms in each base is an integer divisible by 9. The number of solutions to this probl
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Question 767569: he area of a trapezium is 1400 cm2. Its altitude is 50 cm. Find the two bases, if the number of cms in each base is an integer divisible by 9. The number of solutions to this problem is Answer by solver91311(24713) (Show Source):
The number of solutions to this problem is zero. If the area is 1400 cm^2, and the height is 50, then the average of the two bases is 1400 divided by 50 or 28. If the average is 28, then the sum of the measures of the two bases must be twice 28, or 56. Since 56 is not divisible by 9, there are no two integers each divisible by 9 that sum to 56.
John
My calculator said it, I believe it, that settles it
