Posted by justme on Saturday, October 15, 2011 at 7:41pm.
Square OPQR has vertices O(0; 0), P(0; 8), Q(8; 8), and R(8; 0). The parabola
with equation y = a(x �� 2)(x �� 6) intersects the sides of the square OPQR at
points K, L, M, and N. Determine all the values of a for which the area of the
trapezoid KLMN is 36.

math  Reiny, Saturday, October 15, 2011 at 9:48pm
I made a sketch and found the following coordinates
K(0,12a) , L(2,0) , M(6,0) and N(8,12a
so the area of the trapezoid
= (KN + LM)(OK)/2 = 36
(8 + 4)(12a)/2 = 36
144a = 72
a = 72/144 = 1/2
Answer This Question
Related Questions
 math  pls. help.. The functions f and g satisfy f(x) + g(x) = 3x + 5 f(x) &#...
 calculus  Let h(x) = ( x2 + 2 if x > 2 ��mx if x 2 (a) Find ...
 Calc 2  Use Taylorâ€™s Estimate to bound the error of the nth order Maclaurin ...
 calculus  Let f (x) = x3 ��3x2 +5x+2. Find the open intervals on ...
 cal  A ball is thrown directly upward from ground level with an initial ...
 circles  OPQR is a rhombus , three of whose vertices lie on a circle with ...
 math  The earth has a radius of 6,380 km. The formula for the volume of a ...
 physics  The electron in the Figure is travelling with a speed of 3 106 m/s...
 Math  Help, I am stuck: Find (A �� B) �� C, given A...
 physics  the region 0 < r < r1 is a charged insulating sphere with ...
More Related Questions