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 aggregate territory of 64 little square of a chessboard is 400 cm2. There is 3cm wide fringe around the chess board. What is the Length of every side of the chessboard?

A - 17 cm

B - 20 cm

C - 23 cm

D - 26 cm

Answer : D

Explanation

Length of each side of the chess board excluding path=√400=20cm.
Length of each side = (20+3+3) = 26cm

Q 2 - A rectangular field has measurement 25m by 15m .Two commonly opposite entries of 2m width have been left in its focal Part and grass has been developed in whatever is left of the field. The territory under the grass is:

A - 295 m2

B - 299 m2

C - 300 m2

D - 375 m2

Answer : B

Explanation

Area under the grass =[(25*15)-{(25*2)+(15*2)-(2*2)}]
= {375-(50+30-40} m2 = (375-76) m2   = 299 m2

Q 3 - The expense of covering a room 15m long with a rug 75cm wide at 90 p for every meter is Rs. 108. The broadness of the room is:

A - 6 m

B - 8 m

C - 9 m

D - 12 m

Answer : A

Explanation

Length of the carpet= (10800/90)m =120m
Area of the room = Area of the carpet= (120*75/100) m2= 90m2
Breadth of the room = area/length = 90/15m =6m

Q 4 - The range of a rectangle is 144m long is the same as that of a square of side 84m. The width of the rectangle is:

A - 7 m

B - 14 m

C - 49 m

D - cannot be resolved

Answer : C

Explanation

Let the width be x meters. Then,
1448* x= 84*84 ⇒ x= 84*84/144 =49m
∴ Width of the rectangle is 49 m.

Q 5 - If the diagonal of a square is doubled, then the area of a new square becomes?

A - Fourfold

B - threefold

C - two fold

D - none of these

Answer : A

Explanation

Let the length of original diagonal be d cm. Then, its area=1/2d2 cm2
New diagonal= (2d) cm. new area = 1/2*(2d) 2=2d2=4*(1/2d2)
=4*old area.

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 ranges of a square and a rectangle are equivalent. On the off chance that their borders are separately P₁and P₂, Which of the accompanying Statement is valid:

A - P₁ < P₂

B - P₁ ≤ P₂

C - P₁ > P₂

D - P₁ ≥ P₂

Answer : A

Explanation

If the areas of a square and a rectangle are equal, then the Perimeter of the square is less. So, P₁

Q 9 - Each side of an equilateral triangle is equivalent to the span of a circle whose region is 154 cm2. The range of the equilateral triangle is:

A - 7√3/4 cm2

B - 49√3/4 cm2

C - 35 cm2

D - 49cm2

Answer : B

Explanation

Let each side of the equilateral triangle be a cm and radius of the circle is r cm.  Then , a =r
πr2 =154 ⇒22/7 *r2=154⇒ r 2= (154*7/22) = 49 ⇒r= 7
∴ a = 7cm ⇒ area of ∆ = √ 3/4 *(7)2 cm2=49√3/4 cm2

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

Answer : A

Explanation

Let the diagonal be d meter. Then,
1/2 d2=6050⇒ d2= 12100 ⇒d=√12100= 110 m.


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