If the length (L cm) and breadth (B cm) of a rectangle are increased by 25%, fmd the difference between the areas of the old and new rectangles.

Given

If the length (L cm) and breadth (B cm) of a rectangle are increased by 25%, find the difference between the areas of the old and new rectangles,

Let length = L cm and B be B cm

Now old area will be $$L\times B$$ sq cm

New area will be length = $$\frac{5 L}{4}$$ cm and breadth =  $$\frac{5 B}{4}$$cm

So new area will be $$\frac{25 LB}{16}$$ sq cm

Therefore difference will be $$\frac{25 LB}{16}$$- LB =$$\frac{9 LB}{16}$$ sq cm