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 rectangular patio 3.78m long and 5.25 m wide is to be cleared precisely with square tiles, the greater part of the same size. The base No. such tiles are:

A - 430

B - 440

C - 450

D - 460

Answer : C

Explanation

L=378 m and b= 525 cm
Maximum length of the square tile= H.C.F (378cm, 525cm) =21cm
No. of tiles =378*525/21*21= (18*25) = 450

Q 2 - The border of the rectangle is 60 m. on the off chance that its length is twice its broadness, and then its region is:

A - 160 m2

B - 180 m2

C - 200 m2

D - 220 m2

Answer : C

Explanation

Let the breadth be x mtr. Then, length = 2x mtr.
2(2x+x) = 60 ⇒ 6x=60 ⇒x= 60
∴ L=20m and b= 10m ⇒area = (20*10) =200 m2

Q 3 - The region of a square is 1/2 hectare. The length of its slanting is:

A - 250 m

B - 100 m

C - 120 m

D - 150 cm2

Answer : B

Explanation

area = (1/2*10000)m2= 5000m2
1/2*(diagonal) 2= 5000 ⇒ d2= 10000⇒d= √10000= 100m
∴ Length of diagonal = 100m

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 - 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 - 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 - 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 - If the side of a rhombus is 20cm and its shorter corner to corner is three-fourth of its more extended askew, then the range of the rhombus is:

A - 375 cm2

B - 380 cm2

C - 384 cm2

D - 395 cm2

Answer : C

Explanation

Let the longer diagonal be x cm , then shorter diagonal = (3/4)x cm
∴ AC= x cm and BD=(3/4 )x cm
AO =1/2*AC =x/2 cm, BO= 1/2 BD= (3/8) X cm and AB= 20 cm
In right ∆ AOB, we have AO2 +BO2 = AB2
(x/2) 2+ (3x/8) 2= (20) 2⇒x2/4+9x2/64=400 ⇒16x2+9x2=25600 ⇒25x2= 25600 ⇒x2=1024
⇒ x=√1024= 32 cm
∴ AO =32/2=16cm, BO= (3/8*32) cm=12cm
∴ AC=2*AO= 32 cm, BD= 2*BO= 24cm
Area of the rhombus = (1/2*32*24) cm2 =384 cm2

Q 10 - The territory of a circle is expanded by 22cm2 when its range is expanded by 1cm. The first sweep of the circle is:

A - 6 cm

B - 3.2 cm

C - 3 cm

D - 3.5 cm

Answer : C

Explanation

Let the original radius be R cm. Then,
π *[(R+1) 2-R2] =22 ⇒22/7 *(R+1+R)(R+1-R)= 22
⇒2R+1 =7 ⇒ 2R= 6 ⇒ R= 3cm


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