Exercise :: Area  General Questions
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 C Explanation:
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 D Explanation: Let original length = x and original breadth = y.

8.  A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges? 

Answer: Option C 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.

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 B 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 A 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}.
