Question

Quantity-I: The area of a triangle is 72 cm². The base of the triangle is 12
cm. Find the height of the triangle. Quantity-II: The area of a rectangle is 96 cm². The length of the rectangle is 16
cm. Find the width of the rectangle. Quantity-III: The area of a square is 100 cm². Find the side of the square. Which of the following pair of symbols will define the relation between Quantity I and Quantity II and between Quantity II and Quantity III respectively?
A. =
B. >
C. <
D. ≥ E. ≤ F. # (relation cannot be established)

Q: Answer-Quantity-I: The area of a triangle is 72 cm². The base of the triangle is 12 cm. Find the height of...

Solution Quantity I Area of triangle 12 base height 72 12 12 height 72 6 height height 72 6 12 cm Quantity II Area of rectangle length width 96 16 width width 96 16 6 cm Quantity III Area of square side 100 side side 100 10 cm Comparing Quantity-I, Quantity-II, and Quantity-III Quantity-I 12 cm Quantity-II 6 cm Quantity-III 10 cm Now, comparing Quantity-I Quantity-III lt Quantity-II Therefore, the correct pair of symbols is B C Correct option d