The triangle in the trapezoid share a 15 inch base and a height of 10 inches. The area of the trapezoid is less than twice the area of the triangle. Find the values of X. X is greater than --- and x is less than 15 inches.

4 answers

Assuming that x is the length of the missing parallel side ...

area of trapezoid = (x+15)(10)/2= 5x + 75
area of triangle = (1/2)(15)(10) = 75

5x + 75 < 2(75)
5x < 75
x < 15
but clearly x has to be positive

0 < x < 15

looks like a common sense type of question to me.
+75
Where are we getting the equation 5x+75<2(75)?
I don't think this is right, for my problem you have to explain....