R. Gupta Solutions for Exercise 1: EXERCISE

A park square in shape has a $3$ metre wide road inside it running along its side. The area occupied by the road is $1764$ square metres. What is the perimeter along the outer edge of the road?

What will be the length of the diagonal of that square plot whose area is equal to the area of a rectangular plot of length $45$ metres and breadth $40$ metres?

The length of one pair of opposite sides of a square is increased by $5$ cm on each side; the ratio of the length and breadth of the newly formed rectangle becomes $3:2$. What is the area of the original square?

What will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of the rectangle as base and a vertex on the opposite side of the rectangle?

A cow is tethered in the middle of a field with a  $14$ feet long rope. If the cow grazes $100$ sq. feet per day, then approximately what time will be taken by the cow to graze the whole field?

A circular ground whose diameter is $35$ metres, has a $1.4$ m broad garden around it. What is the area of the garden in square metres?

The cost of the paint is Rs $36.50$ per kg. If $1$ kg of paint covers $16$ square feet, how much will it cost to paint outside of a cube having $8$ feet each side? 

The capacity of a cylindrical tank is $246.4$ litres. If the height is $4$ metres, what is the diameter of the base?