Question

The base and height of a parallelogram are 30 cm and 20 cm respectively. The base has increased by $50$%. Find the area of new parallelogram.

• A. $800{\text{cm}}^2$
• B. $900{\text{cm}}^2$
• C. $1000{\text{cm}}^2$
• D. $900\text{cm}$

Answer 1

The correct option is B $900{\text{cm}}^2$

Let's draw a parallelogram ABCD of given dimensions.

Given,
Base of parallelogram $=30$ cm
Height of parallelogram $=20$ cm

The base has increased by $50$%.

New base of parallelogram $=30+50\%\text{of}30=30+\frac{1}{2}\times 30$
$=30+15=45$ cm

As we know,
Area of parallelogram = New base $\times$ Height
$=45\times 20$
$=900{\text{cm}}^2$

Option (b) is correct.