# Problems on Areas Question and Answers : Quantitative Aptitude

Mensuration : Quantitative Aptitude
1. 11.   Of the two square fields, the area of the one is 1 hectare, while anothe one is broader by 1%. There differences in area is:

 A.) 200 m B.) 201 m C.) 201 m D.) None of these

Area of one square field = 10000 m2

10000 × 1 = 10000

Side of this field = √10000 m = 100 m

Side of another square = 101 m

Difference of areas = [ 1012 - 1002 ] m2

[101+100][101-100] m2

(201)(1) m2 = 201 m2

2. 12.  Find the cost of carpenting a room 13 m long and 9 m broad with a carpet 100 Cm broad at the rate of Rs.20 per meter.

 A.) 117 m B.) 107 m C.) 116 m D.) 117 m2

Area of the carper = Area of the room

= 13 × 9 => 117 m2

Breadth of the carpet = 100 Cm = 1m

Length of carpet = Area/Breadth => 117/1 = 177 m.

3. 13.   A girl walking at the rate of 9 Km per hour crosses a square field diagonally in 12 seconds. The area of the field is:

 A.) 460 sq.m B.) 600 sq.m C.) 510 sq.m D.) 450 sq.m

Distance covered in (9×1000)/(3600) × 12 = 30 m

Diagonal of squarre field = 30 m.

area of square field = 302/2

= 900/2 = 450 Sq.m

4. 14.  The inner circumference of a circle race track 18 m wide is 880 m. Find the radius of the outer circle.

 A.) 140 m2 B.) 150 m C.) 140 m D.) None of these

Let inner radius be r metres

Then 2πr = 640

2 × 22/7 r = 880

44/7 r = 880

r = 880 × 7/44 = 140 m

5. 15.&  The perimeter of a square circumscribed about a ciecle of radius r is:

 A.) 12 r B.) 16 r C.) 64 r D.) 8 r

Each side of the square = 2r

Perimeter of the square = (4×2r) = 8r

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