## Area Problems Solved Questions For IBPS, SBI and Other Bank Exams - Page 5

**Question 1**

The area of two circles are 3850 m^{2} and 616 m^{2} respectively. What is the difference between the circumference of the two circles?

a)138 m b)132 m c)128 m d)122 m

**Answer : **b)132 m

Solution :

Area of circle1 (pi)r^{2} = 3850

r^{2} = 3850 x 7/22 = 1225

r = 35m

Circumference of circle1 = 2(pi)r = 2 x 22/7 x 35 = 220m

Area of circle2 (pi)R^{2} = 616 m^{2}

R^{2} = 616 x 7/22 = 196

R = 14

Circumference of circle2 = 2(pi)R = 2 x 22/7 x 14 = 88m

Difference = 220m - 88m = 132m.

**Question 2**

The perimeter of two equilateral triangles are 24 m and 36 m respectively. What is the difference between the area of the larger triangle and the smaller triangle?

a)34.64 m^{2} b)36.64 m^{2}c)32.64 m^{2} d)30.64 m^{2}

**Answer : **a)34.64 m^2

Solution :

Let a be the side of 1st triangle.

Area = [sqrt3/4] x a^{2} and perimeter = 3a.

Perimeter of 1st triangle 3a = 24m and a = 8m

Area1 = [sqrt3/4] x a^{2}

[sqrt3/4] x 8^{2}

= 1.732 x 16 m^{2}

Perimeter of 2nd triangle 3A = 36m and A = 12m.

Area2 = [sqrt3/4] x 12^{2}

= 1.732 x 36 m^{2}

Required difference = 1.732 x 36 m^{2} - 1.732 x 16 m^{2} = 1.732(36-16) = 1.732 x 20 m^{2} = 34.64 m^{2}

**Question 3**

The area of two squares are 196 m^{2} and 81 m^{2} respectively. What is the difference between the perimeter of two squares?

a)15 m b)17 m c)19 m d)20 m

**Answer : **d)20 m

Solution :

Let a and A be the sides of given two squares.

Then a^{2} = 196 m^{2} and a = 14 m

Perimeter = 4a = 14 x 4 = 56m

And A^{2} = 81m^{2} and A = 9 m.

Perimeter = 4A = 9x4 = 36m

Required difference = 56m - 36m = 20m

**Question 4**

The circumference of two parallelograms each with four sides of equal length and angles of equal size is 84m and 68m respectively. What is the difference between the area of such parallelograms?

a)150 b)151 c)152 d)153

**Answer : **c)152

Solution :

Note that, a parallelogram with four sides of equal length and angles of equal size is a square.

If a be the side of a square then its circumference is 4a.

Given that, the circumference of two squares are 84m and 68m.

Then, Length of each sides are 21m and 17m.

Area are 21^{2} = 441 m^{2} and 17^{2} = 289 m^{2} respectively.

Required difference = 152.