RPH Editorial Team Solutions for Exercise 1: EXERCISE

The length of the perpendiculars drawn from any point in the interior of any equilateral triangle to the respective sides are $p_1, p_2$ and $p_3$. The length of each side of the triangle is :

A rectangular garden is $100 m$ long, $80 m$ wide. It is surrounded on its outside by a uniformly broad path.If the area of the path is $1900m^2$, then what is its width?

A piece of wire $78 cm$ long is bent in the form of an isosceles triangle. If the ratio of one of the equal sides to the base is $5:3$, then length of the base is :

What will be the cost of gardening $1 m$ broad boundary around a rectangular plot having perimeter of $340 m$ at the rate of $Rs.10 \mathrm{per} m^2$?

What is the least number of square tiles required to pave the floor of a room $15 m 17 cm$ long and $9 m 2 cm$ broad?

A park square in shape has $3 m$ wide road inside it running along its sides. The area occupied by the road is $1764 m^2$. Find the perimeter along the outer edge of the road?

A circular path has a path of uniform width around it. The difference between outer and inner circumferences of the circular path is $132 m$. The width of the circular path is _______.

The circumference of a circle is $100 cm$. The side of a square inscribed in the circle is: