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Area Calculation - Online Quiz
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.
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?
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 - The aggregate expense of deck a room at rs.8.50 per square meter is Rs. 510. In the event that the length of the room is 8m, its expansiveness is:
Answer : A
Explanation
Area = total cost/rate =(510/8.50)m2= (510*2/17)m2= 60m2 Area =60m2, Length= 8m Breadth =Area/ Length = 60/8m =7.5 m
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:
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 - A rectangle has 15cm as its length and 150cm2 as its area. Its territory is expanded to 4/3 times the first region by expanding just its length. Its new border is:
Answer : B
Explanation
Length = 15cm, area = 150cm2. Breadth = 150/15 cm = 10cm New length = 200/10 cm = 20cm New perimeter = 2(20+10) cm = 60 cm
Q 5 - The area of the largest circle that can be drawn insight rectangle with sides 8m by 7m is:
Answer : B
Explanation
Radius of the circle= 7/2 m Area of the circle = (22/7 *7/2 *7/2) m2 =77/2m2
Q 6 - Each side of an equilateral triangle measures 8 cm. Its area is:
Answer : B
Explanation
Area =( √3/4*8*8 ) cm2 = 16√3 cm2
Q 7 - On expanding every side of an equilateral triangle by 2cm, there is an increment of 2√3 cm2 in its zone. The length of every side of the Triangle is:
Answer : A
Explanation
Let each side of the triangle be x cm. then, area = (√3/4) x2 cm2
∴ √3/4 (x+2)2- √3/4 x2= 2√3 ⇒√3/4{(x+2)2- x2} =2√3
⇒ √3/4* 4(x+1) = 2√3 ⇒ x+1= 2 ⇒x= 1
Q 8 - The stature of an equilateral triangle is √6cm. Its range is:
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 - 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:
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 region of a circle is 24.64m2. The circuit of the circle is:
Answer : C
Explanation
πR2=24.64 ⇒R2= (24.64*7/22)=(1.12*7)=7.84⇒R=√7.84=2.8 Circumference= 2πR= (2*22/7*2.8) m =17.60 m