Aptitude  Area
Exercise : Area  General Questions
 Area  Formulas
 Area  General Questions
 Area  Data Sufficiency 1
 Area  Data Sufficiency 2
 Area  Data Sufficiency 3
6.
The diagonal of the floor of a rectangular closet is 7 feet. The shorter side of the closet is 4 feet. What is the area of the closet in square feet?
Answer: Option
Explanation:
Other side  = 
 ft  
= 

ft  
= 

ft  
=  6 ft. 
Area of closet = (6 x 4.5) sq. ft = 27 sq. ft.
7.
A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of decrease in area is:
Answer: Option
Explanation:
Let original length = x and original breadth = y.
Decrease in area 





Decrease % =  7  xy x  1  x 100  %  = 28%.  
25  xy 
8.
A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?
Answer: Option
Explanation:
Let the side of the square(ABCD) be x metres.
Then, AB + BC = 2x metres.
AC = 2x = (1.41x) m.
Saving on 2x metres = (0.59x) m.
Saving % =  0.59x  x 100  %  = 30% (approx.)  
2x 
9.
The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:
Answer: Option
Explanation:
l^{2} + b^{2} = 41.
Also, lb = 20.
(l + b)^{2} = (l^{2} + b^{2}) + 2lb = 41 + 40 = 81
(l + b) = 9.
Perimeter = 2(l + b) = 18 cm.
10.
What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
Answer: Option
Explanation:
Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.
Area of each tile = (41 x 41) cm^{2}.
Required number of tiles =  1517 x 902  = 814.  
41 x 41 
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