Area Calculation - Online Quiz



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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.

Questions and Answers

Q 1 - A rectangle measures 8cm on length and its slanting measures 10 cm. what is the border of the rectangle?

A - 36 cm

B - 38 cm

C - 28 cm

D - 18 cm

Answer : C

Explanation

second side = √{(10)2-(8)}2=  √(100-64) =√36= 6cm
Perimeter = 2(8+6) = 28cm

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

Answer : D

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

Answer : B

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 covering of a room twice the length it is board at the rate of 50 p for every square mtr. costs rs. 12.25 And the expense of painting its dividers the rate of 9 p for every square mtr. is rs. 6.30. The tallness of the room is:

A - 10/3 m

B - 13/3 m

C - 7 m

D - none of these

Answer : A

Explanation

Let breadth = x mtr. Then, length = 2x mtr.
Area of the floor = 1225/50 m2= 49/2 m2
∴ X*2x= 49/2 ⇒x2 =49/4 ⇒x=7/2
∴ L = 7m, b= 7/2 m
Area of 4 walls = 630/9 m2 = 70 m2
2(7+ 7/2)* h= 70 ⇒ 2*21/2*h =70
⇒h =70/21 m = 10/3m

Q 5 - The length of a rectangle is twice than its broadness. On the off chance that the length of this rectangle is expanded by 5cm and broadness is diminished by 5cm, the territory of a rectangle is expanded by 75m2. The length of the rectangle is:

A - 20 cm

B - 30 cm

C - 40 cm

D - 50 cm

Answer : C

Explanation

Let breadth be x cm. Then, length =2x cm
(2x-5) (x+5)-x*2x =75 ⇒5x= 100 ⇒x= 20
∴Length = (2*20) cm =40 cm

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

Answer : D

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

Answer : B

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 - A typist uses a paper 30cm*15 cm. He leaves an edge of 2.5cm at the top and the base and 1.25 cm on either side. What rate of paper range around accessible for writing?

A - 65%

B - 70%

C - 80%

D - 61.1%

Answer : D

Explanation

Total area = (30*15) cm2
Area used = [(30-1.25*2)* (15-2.5*2)]
= (27.5*10) cm2 = 275cm2
Percentage of area used = (275/450*100) % = 61.1%

Q 9 - The region of a rhombus is 2016cm2 and its side is 65cm. The lengths of its diagonals are:

A - 125 cm, 35 cm

B - 126 cm, 32 cm

C - 132 cm, 26 cm

D - 135 cm, 25 cm

Answer : B

Explanation

1/2 d₁* d₂=2016 ⇒d₁*d₂=4032
(1/2 d₁)2+ (1/2 d₂)2 = (65)2⇒d₁2+d₂2= 16900
∴d₁2+d₂2+2d₁d₂ = (16900+8064) =24964 ⇒ (d₁+d₂)2= (158)2
⇒d₁+d₂ =158
d₁2+d₂2-2d₁d₂ = (16900-8064) =8836 ⇒ (d₁-d₂)2= (94)2
⇒d₁-d₂=94
d₁+d₂=158, d₁-d₂ =94 ⇒2d₁=252 ⇒d₁=126cm
⇒d₂= (158-126) =32 cm
∴diagonals are 126 cm, 32 cm.

Q 10 - What is the region of the shaded bit if every side of the square measures 21cm?

A - 86.5 cm2

B - 102 cm2

C - 94.5 cm2

D - 81.5 cm2

Answer : C

Explanation

Area of the shaded region= [(21)2-22/7* (21/2)2]
= (441- 693/2) cm2 = (441- 346.5) cm2
= 94.5 cm2


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