# Aptitude - Area

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?
 5 1 4
 13 1 2
27
37
Explanation:

Other side =
 15 2 - 9 2 2 2
ft
=
 225 - 81 4 4
ft
=
 144 4
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:
10%
10.08%
20%
28%
Explanation:

Let original length = x and original breadth = y.

Decrease in area
 = xy - 80 x x 90 y 100 100
 = xy - 18 xy 25
 = 7 xy. 25

 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?
20
24
30
33
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:
9 cm
18 cm
20 cm
41 cm
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?
814
820
840
844