Question

The square below is divided into $3$ rows of equal area. In the top row, the region labeled $A$ has the same area as the region labeled $B$. In the middle row, the $3$ regions have equal areas. In the bottom row, the $4$ regions have equal areas. What fraction of the square's area is in a region labeled $A$?

• A. $\frac{1}{9}$
• B. $\frac{3}{9}$
• C. $\frac{6}{9}$
• D. $\frac{13}{12}$
• E. $\frac{13}{36}$

Answer 1

The correct option is E $\frac{13}{36}$

the block be divided into as shown in fiq.
there the area of $A=\frac{1}{2}+\frac{1}{3}+\frac{1}{4}$
$A=\frac{13}{12}$
now the total area of the square 3 units
therefore ,
the fraction $A=\frac{13}{12\times 3}=\frac{13}{36}$