The diagonal of a square field measures $50 \, m$. The area of the square field is.........$m^2$?

$A$ typist uses a sheet measuring $20\, cm \times 30\, cm$ lengthwise. If a margin of $2\, cm$ is left on each side and a $3\, cm$ margin on top and bottom,the percent of the page used for typing is

The side of a square is $22 \, m$. What is the radius of the circle whose circumference is equal to the perimeter of the square? (in $m$)

The perimeter of a triangle is $30 \text{ cm}$ and its area is $30 \text{ cm}^2$. If the largest side measures $13 \text{ cm}$,then what is the length of the smallest side of the triangle? (in $\text{cm}$)

$A$ room $5\, m \times 8\, m$ is to be carpeted leaving a margin of $10\, cm$ from each wall. If the cost of the carpet is ₹ $18$ per $m^2$,then the cost of carpeting the room will be (in $Rs.$)

$A$ lawn is in the form of a triangle having its base and height in the ratio $2:3$. The area of the lawn is $\frac{1}{12}$ hectare. Find the base and height of the lawn.