Question

please give me a solution***​

Answer 1

●  Length of the Original Rectangle : L cm

●  Breadth of the Original Rectangle : B cm

♣  Formula to find Area of Rectangle is : Length × Breadth

$\longrightarrow$  Area of Original Rectangle = L × B

Mentioned : Length and Breadth are increased by 25%

●  Length of New Rectangle = L + (25% × L)

$\longrightarrow \mathrm{Length\;of\;New\;Rectangle = \left[L + \dfrac{25}{100} \times L\right]}$

$\longrightarrow \mathrm{Length\;of\;New\;Rectangle = \left[L + \dfrac{L}{4}\right]}$

$\longrightarrow \mathrm{Length\;of\;New\;Rectangle = \dfrac{5L}{4}}$

$\longrightarrow \mathrm{Similarly,\;Breadth\;of\;New\;Rectangle = \dfrac{5B}{4}}$

$\longrightarrow \mathrm{Area\;of\;the\;New\;Rectangle = \left[\dfrac{5L}{4} \times \dfrac{5B}{4}\right]}$

$\longrightarrow \mathrm{Area\;of\;the\;New\;Rectangle = \dfrac{25LB}{16}}$

Difference between Area of Old and New Rectangles :

$\mathrm{\longrightarrow \left[\dfrac{25LB}{16} - LB\right]}$

$\mathrm{\longrightarrow \left[\dfrac{25LB - 16LB}{16}\right]}$

$\mathrm{\longrightarrow \dfrac{9LB}{16}\;sq.cm}$