Question

Find the area of a square, if its side becomes
$\frac{2}{5}$
times of its original length​

Answer 1

Answer:

∴ The required area of a if its side becomes $\frac{2}{5}$ times of its original length​ is $\frac{4x^{2} }{25}$ sq.units.

Step-by-step explanation:

In context to question asked,

• We have to find the area of a square if its side becomes $\frac{2}{5}$ times of its original length​.
• Let, original length of a square be $x$.
• So, the new length of side becomes $\frac{2x}{5}$.
• Now, we know that, the formula for area of a square is given by,

      Area of a square = $side^{2}$

                                = $(\frac{2x}{5})^{2}$

                                = $\frac{4x^{2} }{25}$ sq.units

• ∴ The required area of a if its side becomes $\frac{2}{5}$ times of its original length​ is $\frac{4x^{2} }{25}$ sq.units.