# 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 - A rectangular field has measurement 25m by 15m .Two commonly opposite entries of 2m width have been left in its focal Part and grass has been developed in whatever is left of the field. The territory under the grass is:

### Answer : B

### Explanation

Area under the grass =[(25*15)-{(25*2)+(15*2)-(2*2)}] = {375-(50+30-40} m^{2}= (375-76) m^{2}= 299 m^{2}

Q 3 - The expense of covering a room 15m long with a rug 75cm wide at 90 p for every meter is Rs. 108. The broadness of the room is:

### Answer : A

### Explanation

Length of the carpet= (10800/90)m =120m Area of the room = Area of the carpet= (120*75/100) m^{2}= 90m^{2}Breadth of the room = area/length = 90/15m =6m

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 - 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=1/2d^{2}cm^{2}New diagonal= (2d) cm. new area = 1/2*(2d)^{2}=2d^{2}=4*(1/2d^{2}) =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 = πr^{2}= (22/7 *14*14) cm^{2}=616 cm^{2}

Q 7 - What is the proportion of the zones of the circles engraved and encircled in an equilateral triangle?

### Answer : C

### Explanation

Let the radius of the in circle be r. Then, radius of the circumcircle= 2r Required ratio = πr^{2}/ π* 4r^{2}= 1/4 = 1:4

Q 8 - The ranges of a square and a rectangle are equivalent. On the off chance that their borders are separately P₁and P₂, Which of the accompanying Statement is valid:

### Answer : A

### Explanation

If the areas of a square and a rectangle are equal, then the Perimeter of the square is less. So, P₁

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 - The range of a square field is 6050m^{2}. The length of its corner to corner is

### Answer : A

### Explanation

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