Topics

General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature

The area of a square drawn on a diagonal of a square whose area is twice that of a square of side x is

A) \( \Large 2x^{2} \)
B) \( \Large 4x^{2} \)
C) \( \Large 8x^{2} \)
D) \( \Large 16x^{2} \)

Correct Answer:


B) \( \Large 4x^{2} \)

Description for Correct answer:
Area of the square drawn on AC

\( \Large \left(\sqrt{2}a\right)^{2} = 2a^{2} \) ...(i)

Now, Area ABCD = \( \Large 2 \times Area\ of\ square\ or\ side\ x \)

\( \Large \therefore\ a^{2}=2x^{2} \) ...(ii)

From equations (i) and (ii),

Required area = \( \Large 2 = 2x^{2} = 4x^{2} \)

Part of solved Quadrilateral and parallelogram questions and answers : >> Elementary Mathematics >> Quadrilateral and parallelogram

Comments

Similar Questions

1). The area of the shaded portion is

A). 16 sq. cm

B). 12 sq. cm

C). 8 sq. cm

D). 4 sq. cm

2). Sum of the interior angles of a regular polygon having 'n' sides is equal to

A). \( \Large \left(n + 2\right) \pi \)

B). \( \Large \left(n + 1\right) \pi \)

C). \( \Large \left(n - 1\right) \pi \)

D). \( \Large \left(n - 2\right) \pi \)

3). In a regular polygon, if an interior angle is equal to four times the exterior angle, then number of sides in the polygon is

A). 7

B). 8

C). 10

D). 11

4). If one side of a regular polygon with seven sides is produced, then exterior angle (in degrees) has the magnitude

A). 60

B). \( \Large 51\frac{3}{7} \)

C). 45

D). 40

5). The angle BDE in a regular hexagon ABCDEFFA is equal to

A). \( \Large 120 ^{\circ} \)

B). \( \Large 105 ^{\circ} \)

C). \( \Large 90 ^{\circ} \)

D). \( \Large 60 ^{\circ} \)

6). If in a parallelogram ABCD, bisectors of consecutive angles A and B intersect at P, then \( \Large \angle APB \) is equal to

A). \( \Large 30 ^{\circ} \)

B). \( \Large 45 ^{\circ} \)

C). \( \Large 60 ^{\circ} \)

D). \( \Large 90 ^{\circ} \)

7). The area of the shaded portion is

A). 8 sq. cm

B). 6 sq. cm

C). 16 sq. cm

D). 4 sq. cm

8). Match List-I with List-II and select the correct answer using the codes given below the lists List-I
A. Opposite sides equal and parallel
B. Opposite sides equal and one angle \( \Large 90 ^{\circ} \)
C. All sides equal and each angle \( \Large 90 ^{\circ} \)
D. All sides equal and diagonals at right angles
List-II
1. Rectangle
2. Square
3. Rhombus
4. Parallelogram
Codes:
A B C D

A). 4 1 3 2

B). 3 4 2 1

C). 4 1 2 3

D). 2 4 1 3

9). The area of a rectangle and a square are equal. The side of the square is 5 cm and smaller side of the rectangle is half that of the square. The length of other side of the rectangle would be

A). 5 cm

B). 8 cm

C). 10 cm

D). 12.5 cm

10). 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 sum of the areas of the above two squares would be

A). 4 cm

B). 5 cm

C). 5.5 cm

D). 6 cm