If length of a rectangle is increased by 10% and breadth is increased by 15%, then what will be the percentage increase in the area of rectangle?

Let the length and breadth of the rectangle be $$10$$ cm

Area of rectangle = $$10\times10=100$$ $$cm^2$$

After increasing the length by 10%, => New length = $$10+(\frac{10}{100}\times10)$$

= $$10+1=11$$ cm

Similarly, new breadth = $$10+(\frac{15}{100}\times10)$$

= $$10+1.5=11.5$$ cm

=> New area = $$11\times11.5=126.5$$ $$cm^2$$

$$\therefore$$ Increase in area = $$\frac{(126.5-100)}{100}\times100=26.5\%$$

=> Ans - (D)