$A$ plot of land is in the shape of a right-angled isosceles triangle. The length of the hypotenuse is $50 \sqrt{2} \text{ m}$. The cost of fencing is ₹$3$ per metre. The total cost of fencing the plot will be

Two roads $XY$ and $YZ$ of $15 \ m$ and $20 \ m$ length respectively are perpendicular to each other. What is the distance between $X$ and $Z$ by the shortest route? (in $m$)

If the area of a square is equal to the area of a rectangle $6.4 \, m$ long and $2.5 \, m$ wide,then each side of the square measures (in $m$)

The height of an equilateral triangle whose perimeter is $24 \, cm$ is

An error of $2 \%$ in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is.....$\%$

What is the cost of flooring a rectangular hall?
Statements:
$I.$ The length of the rectangle is $6 \ m$.
$II.$ The breadth of the rectangle is $2/3$ of its length.
$III.$ The cost of flooring an area of $1 \ m^2$ is ₹ $4500$. (Note: Corrected unit/value for logical consistency).