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?
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:
l2 + b2 = 41.
Also, lb = 20.
(l + b)2 = (l2 + b2) + 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) cm2.
| Required number of tiles = |
|
1517 x 902 | |
= 814. |
| 41 x 41 |
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