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 room is 49/4 m long and 7 m wide. The greatest length of a square tile to fill the floor of the room with entire number of tiles ought to be.

A - 200 cm

B - 175 cm

C - 125 cm

D - 150 cm

Answer : B

Explanation

L=1225 cm and b= 700 cm
Maximum length of the square tile= H.C.F of (1225cm, 700cm) =175 cm

Q 2 - The length of a rectangular plot is thrice its expansiveness. On the off chance that the zone of the rectangular plot is 6075 sq. meter, what is its length?

A - 45 m

B - 75 m

C - 130 m

D - none of these

Answer : D

Explanation

Let the breadth be x meters. Then, its length= 3x mtr.
∴3x*x =6075 ⇒ x2 =2025 ⇒x= √2025= 45
∴ Length = (3*45) m= 135 m

Q 3 - If the length and width of the rectangular greenhouse are each expanded by 20% then what might be the percent increment in the Territory of the greenery enclosure?

A - 20%

B - 24%

C - 36%

D - 44%

Answer : D

Explanation

Let length =x mtr. And breadth = y mtr. Then,
 area = (xy)m2
New length = (120/100)x =(6x/5)m , New breadth =(120/100)Y=(6y/5)m
New area = (6x/5*6y/5) m2= (36/25xy) m2
Increase in area = [(36/25) xy-xy] m2= (11/25 xy) m2
Increase % = (11/25xy*1/xy*100) % = 44%

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 area of the largest circle that can be drawn inside a square of side 14cm is:

A - 84 cm2

B - 154 cm2

C - 204 cm2

D - 176 cm2

Answer : B

Explanation

Radius of the circle =(1/2*14) =7 cm
Area of the circle = (22/7*7*7) cm2= 154 cm2

Q 6 - If the height of a triangle is decreased by 40% and its base is increased by 40%. What will be the effect on its area?

A - No change

B - 8% decrease

C - 16% decrease

D - 16%increase

Answer : C

Explanation

Let the height be h and base= b. then, area = (1/2 bh) sq. units.
New height = (60% of h) = (60/100) h= 3h/5,
New base = (140% of b) = (140/100) b= 7b/5
New Area = (1/2 *7b/5 *3h/5) sq. unit= (21/50) bh sq. unit
Decrease in area = {1/2 bh- (21/50) bh} = 4/50 bh.
Decrease % = (4/50 bh * 2/bh *100) % = 16%

Q 7 - Every side of a square is equivalent to every side of an equilateral triangle. The proportion of their ranges is:

A - 2:1

B - 2:√3

C - 4:3

D - 4:√3

Answer : D

Explanation

Let, side of square = side of equilateral triangle = x
Ratio of their areas = x2: √3x2/4 = 4:√3

Q 8 - The territory of the biggest triangle that can be engraved in a crescent of range r cm is:

A - 2r cm2

B - r2 cm2

C - 1/2 r2cm2

D - 2r2cm2

Answer : B

Explanation

Area of the largest triangle= (1/2*2r*r) cm2=r2 cm2.

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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