Area Aptitude Test Paper 2

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

12 cm
8 cm
6 cm
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?

126 m²
128 m²
130 m²
132 m²

Answer: B

Explanation:

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

= Area Aptitude x (16)²

= Area Aptitude x 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

5 cm
8 cm
10 cm
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?

37.5%
60%
75%
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?

25.4 cm
30.4 cm
40.4 cm
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