There are two squares s_{1} and s_{2}. The ra | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The area of a square is given by the formula $	ext{Area} = 	ext{side}^2$.Let the sides of squares $s_{1}$ and $s_{2}$ be $a_{1}$ and $a_{2}$ res

Vedclass · Accepted Answer

$15$

Vedclass · Answer

(B) The area of a square is given by the formula $	ext{Area} = 	ext{side}^2$.Let the sides of squares $s_{1}$ and $s_{2}$ be $a_{1}$ and $a_{2}$ respectively.The ratio of their areas is given as $\frac{a_{1}^2}{a_{2}^2} = \frac{4}{25}$.Taking the square root of both sides,we get the ratio of their sides: $\frac{a_{1}}{a_{2}} = \sqrt{\frac{4}{25}} = \frac{2}{5}$.Given that the side of $s_{1}$ $(a_{1})$ is $6 	ext{ cm}$,we can set up the equation: $\frac{6}{a_{2}} = \frac{2}{5}$.Solving for $a_{2}$: $a_{2} = \frac{6 	imes 5}{2} = 3 	imes 5 = 15 	ext{ cm}$.Therefore,the side of $s_{2}$ is $15 	ext{ cm}$.

There are two squares $s_{1}$ and $s_{2}$. The ratio of their areas is $4:25$. If the side of $s_{1}$ is $6 \text{ cm}$,what is the side of $s_{2}$? (in $\text{cm}$)

Similar Questions

If the length of one side and the diagonal of a rectangle are $7 \text{ cm}$ and $25 \text{ cm}$ respectively,then find its perimeter (in $\text{cm}$).

The area of a square field is $6050\, m^2$. How much time will it take to reach from one of its corners to the opposite corner at the rate of $10\, m$ in every $30$ seconds?

The hypotenuse and the semi-perimeter of a right triangle are $20\, cm$ and $24\, cm$,respectively. The other two sides of the triangle are

$A$ solid metallic sphere of radius $21\, cm$ is melted and recast into a cone with diameter of the base as $21\, cm$. What is the height (in $cm$) of the cone?

If a wire is bent into the shape of a square,then the area of the square is $81 \, cm^2$. When the wire is bent into a semi-circular shape,the area of the semi-circle will be (in $cm^2$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module