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. Select the correct option:  A) 1 meter  B) 2 meter  C) 3 meter  D) 4 meter  E) 5 meter
Solution   We first note that   MC = 20 - 5= 
<gadget id="calculator">20 - 5</gadget>
<output>15</output>
15   The quadrilateral MNBC is a trapezoid and its area 1 meter is given by   1 meter= (1/2) × 10 × (x + MC) = 5 (x + 15)   40% of the area of the rectangle is equal to   40% × (20 × 10) = (40 / 100) × 200 = 80   Since the area of MNBC is equal to 40% the area of the rectangle, we can write   5(x + 15) = 80   5x + 75 = 80   5x 5  + 75= 
<gadget id="calculator">5  + 75</gadget>
<output>80</output>
80   5x= 5   x = 1 meter   1 meterNSWER IS 1 meter
<result>A</result>
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.