The perimeter of a square is 12 cm and that of another is 16 cm. The side of a square whose area is equal to the sum of the areas of the above two squares would be


A) 4 cm

B) 5 cm

C) 5.5 m

D) 6 cm.

Correct Answer:
B) 5 cm

Description for Correct answer:

Perimeter of first square = 12 cm.

Therefor, Its side = \( \Large \frac{12}{4}=3\ cm \)

Therefore, Its area = \( \Large 3^{2} = 9\ sq.cm. \)

Perimeter of second square = 16 cm

Therefore, Its side = \( \Large \frac{16}{4} = 4\ cm \)

Therefore, Its area = \( \Large 4^{2} = 16\ sq.cm. \)

Therefore, Area of new square = 9 + 16 = 25 sq. cm

Its side = \( \Large \sqrt{25} = 5\ cm \)


Part of solved Mensuration questions and answers : >> Aptitude >> Mensuration








Comments

No comments available




Similar Questions
1). If length of a square is doubled its area will increase
A). two times
B). three times
C). four times
D). 16 times
-- View Answer
2). The ratio of two unequal sides of a rectangle is 1:2. If its perimeter is 24, then length of a dlagonal is
A). \( \Large \frac{2}{\sqrt{5}} cm \)
B). \( \Large \frac{4}{\sqrt{5}} cm \)
C). \( \Large 2\sqrt{5} cm \)
D). \( \Large 4\sqrt{5} cm \)
-- View Answer
3). ABCD is a parallelogram of area S. E and F are the middle points of the sides AD and BC respectively. If G is any point on the line EF, then area of \( \Large \triangle AGB \) is equal to
A). \( \Large \frac{S}{2} \)
B). \( \Large \frac{S}{3} \)
C). \( \Large \frac{S}{4} \)
D). \( \Large \frac{3S}{4} \)
-- View Answer
4). A rectangular lawn is 80 metres long and 60 metres wide. The time taken by a man to walk along its diagonal at the speed of 18 km. per hour is
A). 25 sec
B). 20 sec
C). 18 sec
D). 10 sec
-- View Answer
5). If \( \Large \triangle ABC \) is an equilateral triangle of area \( \Large 36\sqrt{3} cm^{2} \), then area of the inscribed circle is
A). \( \Large 48 \pi cm^{2} \)
B). \( \Large 36 \pi cm^{2} \)
C). \( \Large 24 \pi cm^{2} \)
D). \( \Large 12 \pi cm^{2} \)
-- View Answer


6). A ladder 2.0m long is placed in a street so as to reach a window 1.6 m high and on turning the ladder to the other side of a street, it reaches a point 1.2 m high. The width of the street is
A). 2.8 m
B). 2.4 m
C). 2.0 m
D). 1.6 m
-- View Answer
7). Area of the parallelogram given below is
A). 40 sq. cm
B). 20 sq. cm
C). 32 sq. cm
D). 64 sq. cm
-- View Answer
8). If three solid bodies; a sphere, right circular cylinder and a right circular cone are of equal radius and equal surface area, then their heights are in the ratio
A). \( \Large 2 : 1 : 2\sqrt{2} \)
B). \( \Large \sqrt{2} : 1 : 2 \)
C). \( \Large 2 : 1 : 3\sqrt{2} \)
D). \( \Large 6\sqrt{2} : 3\sqrt{3} : 4 \)
-- View Answer
9). A square and an equilateral triangle are inscribed in a circle. If a and b denote lengths of their sides, then
A). \( \Large a^{2}=\frac{b^{2}}{2} \)
B). \( \Large \frac{a^{2}}{2}=b^{2} \)
C). \( \Large 3b^{2}=2a^{2} \)
D). \( \Large 3a^{2}=2b^{2} \)
-- View Answer
10). The slant height of a right circular cone is 10 cm and its height is 8 cm. It is cut by a plane parallel to its base passing through the midpoint of the height. Ratio of the volume of the cone to that of the frustum of the cone cut is
A). 2 : 1
B). 8 : 7
C). 4 : 3
D). 3 : 2
-- View Answer