Jayashri Bhattacharya and Tarika Dhawan Solutions for Exercise 3: CHAPTER INNINGS

If the area of the figures given below, where each square is of length $1 \mathrm{cm}$, is $k {\mathrm{cm}}^2$, then find the value of $k$.

A figure is formed by putting two squares of side  $8 \mathrm{cm}$  side by side. Find the perimeter and area of the figure thus obtained.

The perimeter of a rectangular field is $320 \mathrm{m}$. If the length and breadth are in the ratio $5:3,$ find the length and breadth of the field.

Rajat is running around a rectangular field with dimensions $750 \mathrm{m}\times 500 \mathrm{m}$ while Sumit is running around a square field with side $625 \mathrm{m}$. If Rajat takes $20 \min$ to go round the field and Sumit takes $15 \min$, name the person who is running faster.

Find the cost of levelling a rectangular field of dimensions $6.75 \mathrm{m}\times 5 \mathrm{m} @ \mathrm{₹}45$ per ${\mathrm{m}}^2$.

A parking lot has dimensions $1.5\mathrm{km}\times 75 \mathrm{m}$ If one car requires $7.5 {\mathrm{m}}^2$ of area, find how many cars can be parked in that lot.

Shruthi has cut a rectangular sheet of paper of dimensions $32 \mathrm{cm}\times 26 \mathrm{cm}$ shown in the figure. If the area of the design is $k {\mathrm{cm}}^2$, then find the value of $k$.

The length of the side of each square of a chess board is $3 \mathrm{cm}$. If the area of the chess board is $k {\mathrm{cm}}^2$, then find the value of $k$.  (A chess board has $64$ squares of equal size.)