Jharne De and Ranjana Kumar Solutions for Chapter: Perimeter and Area, Exercise 3: HOTS (Higher Order Thinking Skills)

A square lawn is surrounded by a $5\mathrm{m}$ wide path. If the area of the path is $400{\mathrm{m}}^2$, find the area of the lawn.

A piece of cloth is $5\mathrm{m}$ long and $2\mathrm{m}$ wide. A border of width $50\mathrm{cm}$ has to be printed and stitched all around it on the outside. Find the cost of printing the border at $₹200$ per ${\mathrm{m}}^2$.

A rectangular lawn $100\mathrm{m}$ long and $70\mathrm{m}$ broad has two crossroads running in the middle of it$-$one $2\mathrm{m}$ wide running parallel to its length and the other $5\mathrm{m}$ wide running parallel to its breadth. Find the area of the lawn not covered by the crossroads.

Which shape has the greatest perimeter? Justify your answer.
a)                                                                             b)                                                                             c)
                                       

The circumference of the bigger circle is _____ times the smaller circle.

A regular hexagon consists of $6$ equilateral triangles. 

If the measure of each side of the hexagon is $6 \mathrm{cm}$, then find $\mathrm{x}$.

A regular hexagon consists of $6$ equilateral triangles with sides $6 \mathrm{cm}$ each.

Calculate the area of the hexagon.

The students of class $7$ have decided to build a $2 \mathrm{m}$ wide flower bed around a rectangular park of length $20 \mathrm{m}$ and width $15 \mathrm{m}$.
Find the cost of building the flower bed at the rate of $30$ per ${\mathrm{m}}^2$.