Question

Weekly Question:In the rectangle below, the line MN cuts the rectangle into two regions. Find x the length of segment NB so that the area of the quadrilateral MNBC is 40% of the total area of the rectangle.

Answer 1

The answer for this question is really interest and that is N= to 5/6

Answer 2

(1/2)(10)(x + 15 + x) = (2/5)(10)(20 + x)

(1/2)(2x + 15) = (2/5)(x + 20)

5(2x + 15) = 4(x + 20)

10x + 75 = 4x + 80

6x = 5

x = 5/6

NB = 5/6