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.

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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 = 

× (diagonal)²

= x (16)²

= x 256

= 128 m²

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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

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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%

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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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