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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 proportion of the length and expansiveness of a plot is 3:2. On the off chance that the expansiveness is 40m not exactly the length of its slanting is:
Answer : C
Explanation
Let the length be 3x meter. Then, breadth = 2x meters Then, 3x-2x= 40 ⇒ x=40 ∴length = (3*40) = 120m and b= (2*40) =80m ∴ Perimeter = 2(120+80) = 400m
Q 2 - The biggest size of the bamboo can be set in a square of zone 100sq. meters is:
Answer : B
Explanation
side of the square = √100 m =10 m Largest size of the bamboo= length of the diagonal of the square. = √ (10) 2+ (10) 2m = √ 200m = 10√ 2m =(10*1.414) m 14.14m
Q 3 - If the proportion of the ranges of two squares, one having twofold it's corner to corner then the other is:
Answer : D
Explanation
Let the length of the diagonals be 2x and x units. Then, their areas are 1/2 *(2x)2 and (1/2*x2) Required ratio: (1/2*4x2): (1/2x2) = 4:1
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:
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 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:
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 - The ratio of the area of a square of side a and that of an equilateral triangle of side a, is
Answer : D
Explanation
Required ratio = a2/(√3/4) a2 = 4/√3= 4:√3
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 - The slanting of a square is 20 m. The territory of the square is:
Answer : C
Explanation
Area =1/2*(diagonal)2=(1/2*20*20)m2=200m2
Q 10 - The edge of a circle and a square field are equivalent. What is the Breadth of the round field, if the region of the square field is484m2?
Answer : C
Explanation
Let the side of the square be a meters. Then, a2= 484 ⇒a =√484 =22m Perimeter of circle =Perimeter of the square= (22*4) m = 88m ⇒2* 22/7*R = 88 ⇒R= (88*7/44) = 14m ∴ Diameter= (14*2) m = 28m