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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 edge of a story of a room is 18m. What is the region of four dividers of the room, if its stature is 3m?
Answer : C
Explanation
Perimeter= 2 (L+b)=18 and height =3m Area of 4 walls = 2(l+b)*h= (18*3) = 54 sq.m
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 - A corridor 20m long and 15m expansive is encompassed by a verandah of Uniform width of 2.5 m. The expense of ground surfaces the verandah at Rs.17.50 per sq. mtr. is:
Answer : C
Explanation
Area of verandah = [(25*20)-(20*15)]m2= 200 m2 Cost of flooring = (200*35/2) = 3500 rs.
Q 4 - The covering of a room twice the length it is board at the rate of 50 p for every square mtr. costs rs. 12.25 And the expense of painting its dividers the rate of 9 p for every square mtr. is rs. 6.30. The tallness of the room is:
Answer : A
Explanation
Let breadth = x mtr. Then, length = 2x mtr. Area of the floor = 1225/50 m2= 49/2 m2 ∴ X*2x= 49/2 ⇒x2 =49/4 ⇒x=7/2 ∴ L = 7m, b= 7/2 m Area of 4 walls = 630/9 m2 = 70 m2 2(7+ 7/2)* h= 70 ⇒ 2*21/2*h =70 ⇒h =70/21 m = 10/3m
Q 5 - The perimeter of a square circumscribed about a circle of radius r is:
Answer : C
Explanation
Each side of the square = 2r ∴ Perimeter of the square = (4* 2r) = 8r.
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 - ∆ABC and ∆ DEF are similar triangles such that BC= 4cm, EF= 5cm and area (∆ ABC) = 64cm2. The area of ∆DEF is:
Answer : B
Explanation
The areas of two similar triangles are in the ratio of the square of the corresponding sides. Ar (∆ABC)/ ar (∆Def) =BC2/Ef2 ⇒64/ ar (∆Def) = (4)2/ (5)2 = 16/25 ⇒ar (∆DEF) = (25*64/16) = 100 cm2
Q 8 - The length of every side of an equilateral triangle is 24 cm. The region of its engraved circle is:
Answer : D
Explanation
Let the height of the triangle be h then, 1/2 * 24*h = √3/4 *24*24 ⇒h= 12 √3 ∴ 3r = 12 √3 ⇒r = 4√3 Area of in circle = π* (4√3)2 = 48πcm2
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:
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 - A round greenery enclosure has an outline of 440 m. There is a 7m wide fringe inside the patio nursery along its outskirts. The territory of the fringe is:
Answer : D
Explanation
2πR =440 ⇒ 2*22/7*R= 440 ⇒R= (440* 7/44)=70 m Outer radius = 70m, inner radius = (70-7) =63 m Required area = π [(70)2-(63)2] m2= 22/7 *(70+63) (70-63) m2 = (22*133) m2, = 2926m2