Area Aptitude Test Paper 2

Area Aptitude Test Paper 2

6) If the perimeter of a square is 24 cm, one of the sides of the square is

  1. 12 cm
  2. 8 cm
  3. 6 cm
  4. 2 cm

Answer: C

Explanation:

Perimeter of Square = 4 x side
4 x side = 24
Side = 24/4 = 6 cm
One of the sides of the square is 6 cm.


7) If the diagonal of a square field is 16 m, what is its area?

  1. 126 m2
  2. 128 m2
  3. 130 m2
  4. 132 m2

Answer: B

Explanation:

Area of a square:
(Side)2 = Area Aptitude

× (diagonal)2

Area Aptitudex (16)2

Area Aptitudex 256

= 128 m2


8) The area of a rectangle and square are equal. The side of the square is 5 cm and the smaller side of the rectangle is half that of the square. The length of the other side of the rectangle would be

  1. 5 cm
  2. 8 cm
  3. 10 cm
  4. 12.5 cm

Answer: C

Explanation:

Side of Square = 5 cm, and length of one side of rectangle = 5/2 = 2.5 cm

Let the length of the other side of the rectangle = B

As per the question:

Area of rectangle = Area of square

Length x Breadth = Side x Side
2.5 * B = 5 * 5
B = 25/2.5
B = 10 cm


9) The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area?

  1. 37.5%
  2. 60%
  3. 75%
  4. 120%

Answer: A

Explanation:

Let the length of the rectangle be x and breadth be y

Then, Area = L x B = xy
New length =Area Aptitude

Area Aptitude


10) The ratio between the breadth and perimeter of a rectangle is 2:10. If the area of the rectangle is 428 sq. cm, what is the length of the rectangle?

  1. 25.4 cm
  2. 30.4 cm
  3. 40.4 cm
  4. 45.4 cm

Answer: A

Explanation:

Perimeter of a rectangle = 2 (Length + Breadth)

Let length is L and breadth is B.

So, as per the question = 2(L+B)/B = 10/2
2(L+B)/B = 5/1
2L + 2B = 5B
2B – 5B = – 2L
– 3B = – 2L
B = 2/3 L

Given Area = 430 sq. cm.

Area = Length * Breadth
430 = L * 2/3 L
430 = 2/3 L2

Or L2 = 1290 / 2
L2 = 645
L = 25.4 cm

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