# Area Calculation - Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Area Calculation. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Q 1 - The edge of a story of a room is 18m. What is the region of four dividers of the room, if its stature is 3m?

A - 21m2

B - 42m2

C - 54m2

D - 108m2

### Explanation

Perimeter= 2 (L+b)=18 and height =3m
Area of 4 walls = 2(l+b)*h= (18*3) = 54 sq.m

Q 2 - The region of a rectangle is 12sq. mtr. Also, its length is 3 times that of its expansiveness. What is the edge of the rectangle?

A - 14 m

B - 18 m

C - 24 m

D - none of these

### Explanation

Let the breadth be x mtr. then its length = 3x
∴ 3x*x= 12 ⇒ x2= 4 ⇒x=2
∴ L= 6m, b=2m ⇒perimeter = 2(6+2) m = 16m

Q 3 - If the proportion of the ranges of two squares, one having twofold it's corner to corner then the other is:

A - 2:1

B - 3:1

C - 3:2

D - 4:1

### Explanation

Let the length of the diagonals be 2x and x units.
Then, their areas are 1/2 *(2x)2 and (1/2*x2)
Required ratio: (1/2*4x2): (1/2x2) = 4:1

Q 4 - Of the two square fields, the range of the one is 1 hectare, while another is more extensive by 1%. The distinction in ranges is:

A - 101m2

B - 201m2

C - 100 m2

D - 200m2

### Explanation

Area of one Sq. field= 10000m2
Side of this field = √10000m =100m
Side of another square = 101 m
Difference of area = [(101) 2-(100) 2] m2
=(101+100)(101-100)m2 = (201*1)m2= 201m2

Q 5 - A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose side are in the ratio of 6:5. The smaller side of the rectangle is:

A - 30 cm

B - 60 cm

C - 72 cm

D - 132 cm

### Explanation

Length of the wire = circumference of the circle with r=42cm
= (2* 22/7 *42) cm = 264 cm
Let the length of the rectangle be 6x cm. then, its breadth=5x cm
∴ 2 (6x+5x) = 264 ⇒11x= 132 ⇒ x= 12.
Smaller side of the rectangle= (5*12) cm = 60 cm

Q 6 - The sides of a triangle are in the ratio 1/2: 1/3: 1/4. If the perimeter is 52cm, then the length of the smallest side is:

A - 9 cm

B - 10 cm

C - 11 cm

D - 12 cm

### Explanation

Ratio of sides = 1/2: 1/3: 1/4 = 6:4:3
Sides are (52*6/13) cm, (52*4/13) cm, (52*3/13) cm =24 cm, 16cm, 12 cm
Length of the smaller side = 12 cm

Q 7 - What is the proportion of the zones of the circles engraved and encircled in an equilateral triangle?

A - 1:2

B - 1:3

C - 1:4

D - 1:9

### Explanation

Let the radius of the in circle be r.
Then, radius of the circumcircle= 2r
Required ratio = πr2/ π* 4r2 = 1/4 = 1:4

Q 8 - The length of the middle of an equilateral triangle is x. The range of the triangle is:

A - X2

B - 1/2 x2

C - (√3/2)x2

D - √3x2/3

### Explanation

Let each side be a and height be x. then,
A2/4+ x2 = a2 ⇒ (a2-a2/4) = x2⇒   a2= 4x2/3
Area of the triangle = √ 3/4 a2 = √3/4* 4x2/3= √3x2/3

Q 9 - The territory of a rhombus is 36cm2 and the length of one of its inclining is 6 cm. The length of second slanting is:

A - 6 cm

B - 6√2 cm

C - 12 cm

D - none of these

### Explanation

1/2 *d₁* d₂ =36 ⇒1/2*6* d₂ =36 ⇒d₂= 12cm

Q 10 - The region of a circle is 24.64m2. The circuit of the circle is:

A - 14.64m

B - 16.36m

C - 17.60m

D - 18.40m