Editorial Board Solutions for Chapter: Arithmetic Maths, Exercise 1: MENSURATION - 1 Two Dimensional

How many paying stones each measuring $\frac{21}{2} \mathrm{m}\times 2 \mathrm{m}$ are required to pave a rectangular courtyard $30 \mathrm{m}$ long and $16\frac{1}{2} \mathrm{m}$ broad $=$?

Find the number of square tiles to cover the floor of a room measuring $4 \mathrm{m}\times 9 \mathrm{m}$ leaving $0.25 \mathrm{m}$ space around the room. A side of square tile is given to be $25 \mathrm{cm}$.

A rectangular farm has to be fenced one long side, One short side and the diagonal. If the cost of fencing is $\mathrm{Rs}.10$ per meter. The area of farm is $1200 {\mathrm{m}}^2$and the short side is $30 \mathrm{m}$ long. How much would the job cost?

The length of a rectangular field is double its width. Inside the field there is a square shaped pond $8 \mathrm{m}$ long. If the area of the pond is $\frac{1}{8}$ of the area of the field, what is the length of the field?

The area of a square field is $3136$ sq.m. The cost of drawing barbed wire $3$ times around the field is Rs. $1.50$ per meter. Two gates of $1$ m width each are to be left for entrance. What is the total cost?

The length of rectangle is thrice its breadth and its perimeter is $96$ m. Find the area of the rectangle.

A rectangular grass field is $75 \mathrm{m}\times 55 \mathrm{m}$, It has a path of $2.5 \mathrm{m}$ wide all around it on the outside. Find the area of the path and the cost of constructing it at $\mathrm{Rs}.2 \mathrm{per} \mathrm{sq}.\mathrm{m}$ 

A rectangular lawn of dimensions $80$m$\times 60$m has two roads each $10$m wide running in the middle of the lawn. One parallel to the length and the other parallel to the breadth. What is the cost of gravelling the two roads at Rs. $3$ per sq.m?