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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 cm^{2}. 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)m^{2}= (510*2/17)m^{2}= 60m^{2}Area =60m^{2}, 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) m^{2}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 - The length of a rectangular plot is twice its expansiveness. On the off chance that the length of its corner to corner is 9√5m, the border of the perimeter of the rectangle is:

### Answer : B

### Explanation

let breadth = x meter, Then, length = 2x meter Diagonal = √ (2x)^{2}+ x^{2}=√5x^{2}= √5x meter ∴ √5x= 9√5 ⇒9m ⇒Perimeter = 2(18+9) m =54m

Q 5 - The area of a square is 50 cm^{2}. The area of the circle drawn on its diagonal is:

### Answer : A

### Explanation

1/2*(diagonal)^{2}=50 ⇒ (diagonal)^{2}=100 ⇒ diagonal =10cm Radius of circle drawn on its diagonal= 5cm Area of this circle = [π*(5)^{2}] cm^{2}= 25πcm^{2}

Q 6 - The area of an equilateral triangle is 4√3cm^{2}. Each of its side measures.

### Answer : D

### Explanation

Let each side be a cm. then, √3/4 a^{2}= 4√3 ⇒a^{2}=16 ⇒a= 4cm

Q 7 - Every side of a square is equivalent to every side of an equilateral triangle. The proportion of their ranges is:

### Answer : D

### Explanation

Let, side of square = side of equilateral triangle = x Ratio of their areas = x^{2}: √3x^{2}/4 = 4:√3

Q 8 - The territory of the biggest triangle that can be engraved in a crescent of range r cm is:

### Answer : B

### Explanation

Area of the largest triangle= (1/2*2r*r) cm^{2}=r^{2}cm^{2}.

Q 9 - Each side of an equilateral triangle is equivalent to the span of a circle whose region is 154 cm^{2}. 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 πr^{2}=154 ⇒22/7 *r^{2}=154⇒ r^{2}= (154*7/22) = 49 ⇒r= 7 ∴ a = 7cm ⇒ area of ∆ = √ 3/4 *(7)^{2}cm^{2}=49√3/4 cm^{2}

Q 10 - If the sweep of a circle is expanded to three times, then how often will its periphery are expanded?

### Answer : A

### Explanation

Let original radius = R. Then, circumference= 2πR New radius = 3R. New circumference= 2π*(3R) = 6πR Increase = (6πR-2πR) = 4πR = 2(2πR) = 2* original circumference