The perimeters of two squares are 68 cm and 60 cm. Find the perimeter of the third Square whose area is equal to the difference of the areas of these two squares.


A) 64 cm

B) 60 cm

C) 32 cm

D) 8 cm

Correct Answer:
C) 32 cm

Description for Correct answer:
\( \Large a_{1} \)=\( \Large \frac{68}{4} \)=17cm

and \( \Large a_{2} \)=\( \Large \frac{60}{4} \)=15cm

According to the question,

Area of the third square

= [\( \Large (17)^{2}-(15)^{2} \)]

= (17 + 15) (17 - 15)

= \( \Large 32\times 2 \)

= 64 sq cm

Let \( \Large a_{3} \) = Side of the third square

According to the question.

\( \Large (a_{3})^{2} \) = 64 sq cm

\( \Large a_{3} \) = \( \Large \sqrt{64} \) = 8 cm

Perimeter of the third square

= \( \Large 4\times a_{3}=4\times 8 \)=32cm

Part of solved Area and perimeter questions and answers : >> Elementary Mathematics >> Area and perimeter








Comments

No comments available




Similar Questions
1). In the figure, side of each square is 1 cm. The area, in sq cm of the shaded part is 
A). 8
B). 9
C). 10
D). 11
-- View Answer
2). Diagonals of a rhombus are 1 m and 1.5 m in lengths. The area of the rhombus is
A). \( \Large 0.75 m^{2} \)
B). \( \Large 1.5 m^{2} \)
C). \( \Large 1.5 m^{2} \)
D). \( \Large 0.375 m^{2} \)
-- View Answer
3). If the diagonals of a rhombus are 4.8 cm and 1.4 cm, then what is the perimeter of the rhombus?
A). 5 cm
B). 10 cm
C). 12 cm
D). 20 cm
-- View Answer
4). Angles of a quadrilateral are in the ratio 3: 4: 5: 8. The smallest angle is
A). 54 degree
B). 40 degree
C). 36 degree
D). 18 degree
-- View Answer
5). Find the distance between the two parallel sides of a trapezium if the area of the trapezium is 500 sq m and the two parallel sides are equal to 30 m and 20 m, respectively.
A). 20 cm
B). 15 cm
C). 18 cm
D). 25 cm
-- View Answer


6). One side of a parallelogram is 8.06 cm and its perpendicular distance from opposite side is 2.08 cm. What is the approximate area of the parallelogram ?
A). \( \Large 12.56 cm^{2} \)
B). \( \Large 14.56 cm^{2} \)
C). \( \Large 16.76 cm^{2} \)
D). \( \Large 22.56 cm^{2} \)
-- View Answer
7). Floor of a square room of side 10 m is to be completely covered with square tiles, each having length 50 cm. The smallest number of tiles needed is
A). 200
B). 300
C). 400
D). 500
-- View Answer
8). The area of a trapezium is \( \Large \Large 384 cm^{2} \). If its parallel sides are in the ratio 3 : 5 and the perpendicular distance between them is 12 cm, the smaller of the parallel sides is
A). 20 cm
B). 24 cm
C). 30 cm
D). 36 cm
-- View Answer
9). In a trapezium, the two non-parallel sides are equal in length, each being of 5 units. The parallel sides are at a distance of 3 units apart. If the smaller side of the parallel sides is of length 2 units, then the sum of the diagonals of the trapezium is
A). \( \Large 10\sqrt{5} \) units
B). \( \Large 6\sqrt{5} \) units
C). \( \Large 5\sqrt{5} \) units
D). \( \Large 3\sqrt{5} \) units
-- View Answer
10). The ratio of the length of the parallel sides of a trapezium is 3 : 2. The shortest distance between them is 15 cm. If the area of the trapezium is 450 sq cm, find the sum of the lengths of the parallel sides.
A). 15 cm
B). 36 cm
C). 42 cm
D). 60 cm
-- View Answer