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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 edge of a rectangle and a square are 160m each. The range of the rectangle is not exactly that of the square by 100sq. meters. The length of the rectangle is:

Answer : C

Explanation

Each side of the square= 160/4m = 40m
2(L+b) =160 ⇒   (L+b) = 80
(40) ²-Lb= 100 ⇒    lb= (1600-100) = 1500
(L-b) ²= (L+b) ²- 4Lb= (80) ²-4*1500= (6400-6000) =400⇒L-b=20
∴L+b= 80, L-b= 20 ⇒   2L=100 ⇒ L= 50 m

Q 3 - If every side of a Square is expanded by 4cm, then its territory is expanded by 60m². The side of the square is:

Answer : D

Explanation

let the side of the square be x cm. then,
(x+4) ²-x²= 60 ⇒ 8x+16= 60 ⇒8x=44 ⇒x= 5.5cm
∴ Each side = 5.5 cm

Q 4 - A Verandah 40m long and 15 m wide is to be cleared with stones every measuring 6dm by 5dm. The quantity of stones required is:

Answer : B

Explanation

Area of the verandah= (40*15)m²= 600m²
Area of one stone= (6/10*5/10) m²= 3/10m²
No. of stones = (600*10/3) = 2000

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 - The area of an equilateral triangle is 4√3cm². Each of its side measures.

Answer : D

Explanation

Let each side be a cm. then, √3/4 a²= 4√3
 ⇒a² =16 ⇒a= 4cm

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 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 region of a rhombus is 144cm². On the off chance that one of the diagonals is twofold the other, the lengths of the diagonals is:

Answer : B

Explanation

Let one diagonal be x cm. then, another diagonal = 2x cm
∴ 1/2 * x*2x= 144 ⇒x² =144 ⇒x= 12
Length of the diagonals is 12cm, 24 cm

Q 10 - The range of a square field is 6050m². The length of its corner to corner is

Answer : A

Explanation

Let the diagonal be d meter. Then,
1/2 d²=6050⇒ d²= 12100 ⇒d=√12100= 110 m.

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