Aptitude-Area

(6) What is the area of a square with a side length of 5 cm?

• (a) 10 sq cm
• (b) 15 sq cm
• (c) 25 sq cm
• (d) 30 sq cm

Answer

Correct Answer: (c) 25 sq cm
The area \( A \) of a square with side length \( S \) is given by:
A = S^2
Substituting the given value:
A = 5^2 = 25 \text{ sq cm}

(7) A parallelogram has a base of 10 cm and a height of 7 cm. What is the area of the parallelogram?

• (a) 70 sq cm
• (b) 70 sq cm
• (c) 35 sq cm
• (d) 50 sq cm

Answer

Correct Answer: (b) 70 sq cm
The area \( A \) of a parallelogram with base \( b \) and height \( h \) is given by:
A = b \cdot h
Substituting the given values:
A = 10 \cdot 7 = 70 \text{ sq cm}

(8) What is the area of a trapezoid with bases of lengths 8 cm and 12 cm, and a height of 5 cm?

• (a) 20 sq cm
• (b) 50 sq cm
• (c) 60 sq cm
• (d) 80 sq cm

Answer

Correct Answer: (b) 50 sq cm
The area \( A \) of a trapezoid with bases \( a \) and \( b \), and height \( h \) is given by the formula:
A = \frac{(a + b) \cdot h}{2}
Substituting the given values:
A = \frac{(8 + 12) \cdot 5}{2} = \frac{20 \cdot 5}{2} = 50 \text{ sq cm}

(9) The radius of a circle is 6 cm. What is the area of the circle? (Use \( \pi \approx 3.14 \))

• (a) 18.84 sq cm
• (b) 36 sq cm
• (c) 113.04 sq cm
• (d) 226.08 sq cm

Answer

Correct Answer: (c) 113.04 sq cm
The area \( A \) of a circle with radius \( r \) is given by:
A = \pi r^2
Substituting the given value:
A = 3.14 \cdot 6^2 = 3.14 \cdot 36 = 113.04 \text{ sq cm}

(10) A rhombus has diagonals of lengths 10 cm and 24 cm. What is the area of the rhombus?

• (a) 120 sq cm
• (b) 240 sq cm
• (c) 300 sq cm
• (d) 600 sq cm

Answer

Correct Answer: (d) 600 sq cm
The area \( A \) of a rhombus with diagonals \( d_1 \) and \( d_2 \) is given by the formula:
A = \frac{1}{2} \cdot d_1 \cdot d_2
Substituting the given values:
A = \frac{1}{2} \cdot 10 \cdot 24 = \frac{1}{2} \cdot 240 = 120 \text{ sq cm}