# area aptitude 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?
A.
5     1
4
B.
13     1
2
C.     27    D.     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:
A.     10%    B.     10.08%
C.     20%    D.     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?
A.     20    B.     24
C.     30    D.     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:
A.     9 cm    B.     18 cm
C.     20 cm    D.     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?
A.     814    B.     820
C.     840    D.     844