Question

Parallelogram PQRS and Rectangle PQAB have same base PQ, and the length and breadth of the rectangle are 5cm and 3cm respectively. Find the area of a parallelogram PQRS.

• A. $25c{m}^2$
• B. $30c{m}^2$
• C. $15c{m}^2$
• D. $50c{m}^2$

Answer 1

The correct option is C $15c{m}^2$

Length of the rectangle = 5cm
Breadth of the rectangle = 3 cm
$\therefore$ Area of a rectangle = $5cm\times 3cm=15c{m}^2$
Since, rectangle PQAB and parallelogram PQRS are on the same base PQ.
$\therefore$ Area of Parallelogram = Area of rectangle
Hence, Area of Parallelogram PQRS = $15c{m}^2$