# 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 - A rectangular floor covering has a territory of 120 square meters and an Edge of 46m. The length of it?s asked is:

A - 11 m

B - 13 m

C - 15 m

D - 17 m

### Explanation

```L*b=120 and 2(L+b)= 46 ⇒(L+b)=23
(L-b) 2= (L+b) 2-4Lb = (23)2-4*120
= 529-480 =49 ⇒L-b= 7
On solving L+b= 23, L-b= 7 we get: L= 15, b=8
Diagonal = {√ (15)2+ (8)2} = (√225+64) = √289 =17```

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 length of the rectangle is expanded by 20% and its expansiveness is diminished by 20%, then its zone:

A - Increment by 4%

B - diminish by 4%

C - diminish by 1%

D - Stays unaltered

### Explanation

```Let, length = x mtr. And breadth = y mtr. Then, area =(xy) m2
New length = (120/100*x) m = 6x/5 m, new breadth= (80/100*y) m
= 4y/5 m
New area = (6x/5 *4y/5) m2= (24/25xy) m2
Decrease in area = (xy- 24/25xy) m2
Decrease % = (xy/25*1/xy*100) %= 4%```

Q 4 - The expense of developing a square field at the rate of Rs 160 for every hectare is Rs. 1440. The Cost of putting a wall around it at Rs.7.50 per meter is:

A - Rs. 9000

B - Rs. 18000

C - Rs. 8100

D - Rs. 27500

### Explanation

```Area of the square field = 1440/160 hectare = 9 hectare.
= (9*10000) m2= 90000m2
∴ Side of the square is = √90000= 300 m
∴ Perimeter = (4*300) m = 1200m
Cost of fencing = rs. (1200*15/2) = Rs. 9000```

Q 5 - The area of the largest circle that can be drawn insight rectangle with sides 8m by 7m is:

A - 352m2/7

B - 77/2m2

C - 32m2

D - 49m2

### Explanation

```Radius of the circle= 7/2 m
Area of the circle = (22/7 *7/2 *7/2) m2 =77/2m2```

Q 6 - The area of an equilateral triangle is 4√3cm2. Each of its side measures.

A - 4√3cm/3

B - √3cm/4

C - 3 cm

D - 4cm

### Explanation

```Let each side be a cm. then, √3/4 a2= 4√3
⇒a2 =16 ⇒a= 4cm```

Q 7 - The sides of a triangular board are 13m, 14m and 15m. The cost of Painting it at rs. 8.75 per m2 are:

A - 688.80

B - 735

C - 730.80

D - 722.50

### Explanation

```s= 1/2 (13+14+15) =21, (s-a)= 8 , (s-b)= 7 and (s-c) 6
Area to be painted = √21*8*7*6 m2 =84 m2
Cost of painting = rs. (84* 8.75)= rs. 735```

Q 8 - The range of a square is equivalent to the territory of a circle. What is the proportion between the side of the square and the span of the circle?

A - √π:1

B - 1:√π

C - 1:π

D - π:1

### Explanation

```Let the side of the square be a and radius of the circle be r.
Then, a2 =πr2 ⇒a = √πr⇒ A/R=√π/1 ⇒a: r =√π:1```

Q 9 - If the side of a square is expanded by 25%, then its region is expanded by:

A - 25%

B - 40.5%

C - 55%

D - 56.25%

### Explanation

```Let original side= a. Then , area =a2
New side= (125% of a) = (125/100*a) = 5a/4
New area = (5a/4* 5a/4) = (25/16) a2
Area increased = [(25/16)a2-a2] =9a2/16
Increased % = (9a2/16* 1/a2*100) %= 225/4= 56.25%```

Q 10 - The range of a square field is 6050m2. The length of its corner to corner is

A - 110 m

B - 112 m

C - 120 m

D - 135 m

```Let the diagonal be d meter. Then,