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:

To find the area of a rectangle, multiply the length and width using coordinate differences.

Answer 1

The Correct Option is D

Step 1: Use the area formula for a rectangle The area of a rectangle is given by: \[ \text{Area} = \text{Length} \times \text{Width} \] Step 2: Identify length and width From given points: - \( P(0,0) \) to \( Q(6,0) \) gives length = \( 6 \). - \( Q(6,0) \) to \( R(6,2) \) gives width = \( 2 \). Step 3: Compute the area \[ \text{Area} = 6 \times 2 = 12 \] Thus, the correct answer is \( 12 \).