## Area Problems Solved Questions For IBPS, SBI and Other Bank Exams - Page 1

Area Problems Solved Questions (Page 1 of 7)

Dear Reader,

Below you will find important solved questions of age problems. These questions will help you in preparation for all bank exams including IBPS, SBI, RRB and other banks.

**Question 1**

If the sides of a square are 'a' units long is increased by 40% then the extra area (in unit^{2}) covered by the square is :

a) (24/25)a^{2} b) a^{2} /25 c) (7/5)a^{2} d) none of these

**Answer:** a) (24/25)a^{2}

Solution:

Let the side of a square = a units

Then the original area = a^{2} unit^{2}

Length of the new square = 140/100 x a = 7a/5 unit^{2}

Then the area of new square = 49a^{2} / 25 unit^{2}.

Now, the extra area covered by the square = area of new square - the original area

49a^{2} / 25 unit^{2} - a^{2} unit^{2} =24a^{2} / 25 unit^{2}.

Hence the answer is (24/25)a^{2}

**Question 2**

If the breadth of a rectangle with area A is increased by 20% and B is the difference between the area of the two rectangles then which of the following is true?

a) A = 5B b) 5B = A c) A=B d) A=2B

**Answer:** b) 5B = A

Solution:

Let the length of the rectangle be l and breadth be b.

then the original area of the rectangle = A = lb....(1)

Now, the length of the new rectangle is l

And, the breadth of the new rectangle = 120/100 x b = 6b/5

Then, the area of the new one = (6/5)lb

Therefore, the difference between two rectangles = B = (6/5)lb - lb = (1/5)lb...(2)

From (1) and (2),

B = (1/5)A

5B = A

Hence the answer is option b.

**Question 3**

A rectangle is made from a square of 1 unit long by increasing one pair of opposite sides by 20% then the area of the rectangle is :

a) 6/5 unit^{2} b)1/5 unit^{2} c)6 unit^{2} d)5 unit^{2}

**Answer:** a) 6/5 unit^{2}

Solution:

Let the side of the square = a = 1 unit

Then the length of the rectangle = side of the square after increasing = l

l = 120a/100 = 6a/5 = 6/5 (since a = 1)

l = 6/5 and breadth b = a = 1

Then the area of the rectangle = lb = 6/5 x 1 unit^{2}

Hence the answer is 6/5 unit^{2}.

**Question 4**

The pair of opposite side of a rectangle is increased and decreased by 20% and 10% respectively then the area of the rectangle is increased or decreased by;

a)10% b)20% c)28% d)8%

**Answer:** d) 8%

Solution:

Let the original length = L

and the original breadth = B

Then the area = LB

New length = 120/100 x L = 12L/10

New breadth = 90/100 x B = 9B/10

New area = 12L/10 x 9B/10 = 108LB/100

increase in area = 108LB/100 - LB = 8LB/100

Then increase percentage = 8LB/100 / LB x 100 = 8%

Hence the answer is 8%

Area Problems Solved Questions (Page 1 of 7)