R. Gupta Solutions for Chapter: Mensuration-I, Exercise 1: EXERCISE

The lengths of the perpendiculars drawn from any point in the interior of an equilateral triangle to the respective sides are p₁, p₂ and p₃. 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 1900 m² , then what is its width?

A piece of wire is 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 the length of the base is:

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

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

A square-shaped park has a $3 \mathrm{m}$ wide road inside it, running along its sides. The area occupied by the road is $1764 {\mathrm{m}}^2$. Find the perimeter of the park along the outer edge of the road.

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

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