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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 - A rectangular floor covering has a territory of 120 square meters and an Edge of 46m. The length of it?s asked is:
Answer : D
Explanation
L*b=120 and 2(L+b)= 46 ⇒(L+b)=23
(L-b) 2= (L+b) 2-4Lb = (23)2-4*120
= 529-480 =49 ⇒L-b= 7
On solving L+b= 23, L-b= 7 we get: L= 15, b=8
Diagonal = {√ (15)2+ (8)2} = (√225+64) = √289 =17
Q 2 - The region of a rectangle is 12sq. mtr. Also, its length is 3 times that of its expansiveness. What is the edge of the rectangle?
Answer : D
Explanation
Let the breadth be x mtr. then its length = 3x ∴ 3x*x= 12 ⇒ x2= 4 ⇒x=2 ∴ L= 6m, b=2m ⇒perimeter = 2(6+2) m = 16m
Q 3 - The region of a square is 1/2 hectare. The length of its slanting is:
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 - 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 - If the diagonal of a square is doubled, then the area of a new square becomes?
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?
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 - The areas of two similar triangles are 12 cm2 and 48 cm2 .If the height of the smaller one is 2.1 cm, then the corresponding height of the bigger one is:
Answer : B
Explanation
The areas of two similar triangles are in the ratio of the square of the corresponding sides. ∴12/48= (2.1)2/h2 ⇒h2=4* (2.1)2 ⇒h= (2* 2.1) = 4.2 cm
Q 8 - The length of the middle of an equilateral triangle is x. The range of the triangle is:
Answer : D
Explanation
Let each side be a and height be x. then, A2/4+ x2 = a2 ⇒ (a2-a2/4) = x2⇒ a2= 4x2/3 Area of the triangle = √ 3/4 a2 = √3/4* 4x2/3= √3x2/3
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 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