Question

PQRS is a rectangle whose vertices are \( P(0,0) \), \( Q(6,0) \), \( R(6,2) \) and \( S(0,2) \). The area of the rectangle is:

• A. \( 6 \)
• B. \( 8 \)
• C. \( 16 \)
• D. \( 12 \)

Hint:

For rectangles, use: - Length = Difference of x-coordinates of two adjacent vertices. - Breadth = Difference of y-coordinates of two adjacent vertices.

Answer 1

The Correct Option is D

Step 1: The formula for the area of a rectangle is:
\[ \text{Area} = \text{Length} \times \text{Breadth}. \] Step 2: Finding length and breadth:
\[ \text{Length} = |6 - 0| = 6, \quad \text{Breadth} = |2 - 0| = 2. \] Step 3: Computing area:
\[ \text{Area} = 6 \times 2 = 12. \]