# 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 room is 49/4 m long and 7 m wide. The greatest length of a square tile to fill the floor of the room with entire number of tiles ought to be.

### Answer : B

### Explanation

L=1225 cm and b= 700 cm Maximum length of the square tile= H.C.F of (1225cm, 700cm) =175 cm

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 region of a square is 1/2 hectare. The length of its slanting is:

### Answer : B

### Explanation

area = (1/2*10000)m^{2}= 5000m^{2}1/2*(diagonal)^{2}= 5000 ⇒ d^{2}= 10000⇒d= √10000= 100m ∴ Length of diagonal = 100m

Q 4 - A rectangular plot is half as long again as it is expansive. The zone of the grass is 2/3 hectares. The length of the plot is:

### Answer : A

### Explanation

Let breadth = x meter. Then, length= 3x/2m X*3x/2= 2/3*10000 ⇒ x^{2}= 4/9*10000⇒ x= 2/3*100 =200/3m ∴ Length = (3/2*200/3) m = 100m

Q 5 - The length of a rectangle is twice than its broadness. On the off chance that the length of this rectangle is expanded by 5cm and broadness is diminished by 5cm, the territory of a rectangle is expanded by 75m^{2}. The length of the rectangle is:

### Answer : C

### Explanation

Let breadth be x cm. Then, length =2x cm (2x-5) (x+5)-x*2x =75 ⇒5x= 100 ⇒x= 20 ∴Length = (2*20) cm =40 cm

Q 6 - The ratio of the area of a square of side a and that of an equilateral triangle of side a, is

### Answer : D

### Explanation

Required ratio = a^{2}/(√3/4) a^{2}= 4/√3= 4:√3

Q 7 - The areas of two similar triangles are 12 cm^{2} and 48 cm^{2} .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}/h^{2}⇒h^{2}=4* (2.1)^{2}⇒h= (2* 2.1) = 4.2 cm

Q 8 - The edges of a square and a rectangle are equivalent. On the off chance that their zones are individually A m and B m, then which of the accompanying is a genuine proclamation.

### Answer : C

### Explanation

If the perimeter of a square and a rectangle are equal, then area of the square is more. So, A>B is true.

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 - 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}] m^{2}= 22/7 *(70+63) (70-63) m^{2}= (22*133) m^{2}, = 2926m^{2}