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 $m$)

Four circular cardboard pieces,each of radius $7\, cm$,are placed in such a way that each piece touches two other pieces. The area of the space enclosed by the four pieces is.......$cm^2$.

$A$ wire bent in the form of a circle of radius $42 \, cm$ is bent in the form of a rectangle whose sides are in the ratio of $6:5$. The smaller side of the rectangle is (in $cm$)

What will be the cost of gardening a $1 \text{ m}$ broad boundary around a rectangular plot having a perimeter of $340 \text{ m}$ at the rate of $₹ 10$ per square metre?

$A$ ladder is resting with one end in contact with the top of a wall of height $12\, m$ and the other end on the ground is at a distance $5\, m$ from the wall. The length of the ladder is.....$m$

The radius of a coin is $1\, cm$. If four of these coins are placed on a table so that the rim of each touches that of the other two,find the area of the unoccupied space between them. (in $cm^2$)