Question

Area of a square wooden piece is given as $\frac{25}{16}\text{sq units. What will be the possible side}$
$\text{length of the wooden piece}?$

• A. $\frac{2}{3}\text{units}$
• B. $\frac{5}{3}\text{units}$
• C. $\frac{3}{4}\text{units}$
• D. $\frac{5}{4}\text{units}$

Answer 1

The correct option is D $\frac{5}{4}\text{units}$

$\text{Area of square wooden piece}=\frac{25}{16}\text{sq. units}$

The denominator here is 16, and the numerator is 25, respectively.

So, the number 5 has to be the numerator of the side length of the square because
5 × 5 =25

By seeing the options, only 'a' and 'd' has the numerator as 5.

Now, denominators can be 2,8 or 4 because:
2 × 8 = 16
4 × 4 =16

Only option 'a' has the denominator as 4.

So, the correct option is option 'a'.

$\text{Hence, correct side length will be}\frac{5}{4}\text{sq. units}$