In the diagram (not drawn to scale), the sloping line divides the area of the rectangle

Q: In the diagram (not drawn to scale), the sloping line divides the area of the rectangle in the ratio 1 : 6. What is the ratio a : b?
A. 2 : 3
B. 1 : 2
C. 2 : 5
D. 1 : 3

Answer: C

The upper rectangle has area 2 unit2, the lower rectangle has area 6 – 1 = 5 unit2. We know that the ratio of the area of the upper rectangle to the area of the lower rectangle is 2 : 5. Since both rectangles have the same width, then a and b must also in the ratio 2 : 5.