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 - The length of a rectangular plot is 9/2 times that of its broadness. On the off chance that the region of the plot is 200 square meters, then what is the length?

A - 25 m

B - 62 m

C - 20 m

D - none of these

Answer : D

Explanation

Let the breadth be x meters. Then, length =9x/2 meters.
∴ X*9x/2= 200 ⇒x2= 400/9 ⇒x= 20/3
∴ Length = (9/2*20/3) m = 30m

Q 2 - If an inclining of a rectangle is17cm long and its border is 46cm, The zone of the rectangle is:

A - 100 cm2

B - 110 cm2

C - 120 cm2

D - none of these

Answer : C

Explanation

2(L+b)= 46  ⇒(L+b)=23
√ (a2+b2) = 17 ⇒ (L2+b2) =289
⇒ (L2+b2) = (L+b) 2-2Lb
⇒ 289 = (23)2-2Lb ⇒ 2Lb= 529-289=240 ⇒Lb=120
∴ Area =120 cm2

Q 3 - The length of a rectangular plot is expanded by 25%. To keep its region unaltered, the width of the plot ought to be:

A - kept unaltered

B - expanded by 25%

C - expanded by 20%

D - Diminished by 20%

Answer : D

Explanation

Let the length be x meter and breadth be y mtr.
Then, its area = (xy) m2
New length = (125/100*x) m = (5x/4) m. let the new breadth be z meters.
Then, xy = 5x/4*z ⇒z= 4/5 y
Decrease in width = (y-4/5y) = y/5 mtr.
Decrease % in width = (y/5*1/y*100) % = 20%

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 - A circle and a rectangle have same perimeter.The side of the rectangle is 18cm and 26 cm. what is the area of the circle?

A - 88 cm2

B - 154 cm2

C - 616 cm2

D - 1250 cm2

Answer : C

Explanation

Circumference of the circle= Perimeter of the rectangle
= 2 (18+26) cm= 88cm
2*22/7* R= 88 ⇒ R= (88*7/44) =14 cm
Area of the circle = πr2 = (22/7 *14*14) cm2 =616 cm2

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

Answer : C

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 stature of an equilateral triangle is √6cm. Its range is:

A - 3√3 cm2

B - 2√3 cm2

C - 2√2 cm2

D - 6√2 cm2

Answer : B

Explanation

Let the base be A cm , Then,
1/2 *a* √6= (√3/4) a2⇒      a= 1/2 *√6* 4/√3= 2√2
Area of the triangle = {(√3/4* (2√2) 2} cm2 = (√3/4*8) cm2
= 2√3cm2

Q 9 - The diagonals of a rhombus are 45 cm and 30 cm. Its territory is:

A - 675 cm2

B - 1350 cm2

C - 2010 cm2

D - 2700 cm2

Answer : A

Explanation

Area of the rhombus = 1/2 d₁* d₂= (1/2 *45*40)cm2 =675 cm2

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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