Problems on Areas Question and Answers : Quantitative Aptitude

Mensuration : Quantitative Aptitude
1. 16.   The area of a square field is 4802 m2 the length of its diagonal is:

 A.) 94 m B.) 96 m C.) 98 m D.) None of these

Let the diagonal be d metres,

Then 1/2 d2 = 4802

d2 = 9604

d = √9604

d = 98 m

2. 17.  The diagonal of a rhombus are 65 m and 60 m. Its area is:

 A.) 1950 Cm3 B.) 1950 Cm2 C.) 1960 Cm2 D.) 1960 Cm3

Area of the rhombus = 1/2 d1d2 = ( 1/2 × 65 × 60 ) Cm2

= 65 × 30 = 1950 Cm2

3. 18.   The diagonal of a square is 40 m. The area of the square is:

 A.) 800 m2 B.) 800 m3 C.) 750 m2 D.) None of these

Arear = 1/2 × ( diagonal )2

= ( 1/2 × 40 × 40 )m2

= 1600/2 = 800 m2

4. 19.  The area of the largest triangle that can be inscribed in a semicircle pf rasius r Cm, is:

 A.) r3 Cm2 B.) r2 Cm3 C.) r2 Cm2 D.) r3 Cm3

Area of the largest triangle = (1/2 × 2r × r) Cm2 = r2 Cm2

5. 20.  Find the area of the sector whose are is making an angle of 90° at the center of a circle of radius 3.2 Cm.

 A.) 46.32 Sq.Cm B.) 54.32 Sq.Cm C.) 56.22 Sq.Cm D.) 56.32 Sq.Cm

Area of the sector = 90/360 × πr2

= 90/360 × 22/7 × 3.2 × 3.2

= (11 × 10.24)/2 = 112.64/2 = 56.32 Sq.Cm

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