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A rectangle is divided into four rectangles, and their respective areas are shown in the figure. (Figure is not drawn to scale). What is the missing area 'X' of the fourth rectangle?


25205x 
 


Options:
A .   5sq units
B .   2sq units
C .   4sq units
D .   2.5 sq units
Answer: Option C
:
C

Approach 1:
A Rectangle Is Divided Into Four Rectangles, And Their Respe...
You can directly mark the answer as 25 × x = 20 × 5 x=4
Proof:
Observe that
ac = 25 sq units ....(1)
bc= 20 sq units ... (2)
ad = 5 sq units ... (3)
Dividing (1) by (3), we get: cd = 5 units ... (4)
Dividing (1) by (2) we get ab =5/4 units ... (5)
​St Multiplying (4) and (5) we get:
Sit acbd = 254 sq units
Since its already given that ac = 25 sq units, therefore the missing area 'X' =4 square units.
Approach 2:
Use the simple number approach to break up the values in each cell as shown below 
A Rectangle Is Divided Into Four Rectangles, And Their Respe...
thus x=4x1=4 



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