Prakash Tiwari and Ishita Joshi Solutions for Chapter: Mensuration, Exercise 5: Let's Practice

Four square flowerbeds each of sides $2$m are dug on a piece of land $12$m long and $9$m wide. Find the area of the remaining portion of the land. Also, find the cost of levelling this land at the rate of Rs. $3$ per $100$ ${\text{cm}}^2.$

A rectangular field is of dimension $20\text{m}\times 15\text{m}$. Two paths run parallel to the sides of the rectangle through the centre of the field. The width of the longer path is $2$m and that of the shorter path is $1$m. Find the:

$a.$area of the paths

A rectangular field is of dimension $20\text{m}\times 15\text{m}$. Two paths run parallel to the sides of the rectangle through the centre of the field. The width of the longer path is $2$m and that of the shorter path is $1$m. Find the:

$b.$area of the remaining portion of the field.

A rectangular field is of dimension $20\text{m}\times 15\text{m}$. Two paths run parallel to the sides of the rectangle through the centre of the field. The width of the longer path is $2$m and that of the shorter path is $1$m. Find the:

$c.$cost of constructing the roads at the rate of Rs. $10$ per ${\text{m}}^2.$

A square lawn is surrounded by a path $2\mathrm{m}$ wide.if the area of the path is $240 \mathrm{m}$,find the area of lawn.

A strip of width $3$ cm is cut out all round from a sheet of paper with dimensions $30\text{cm}\times 20\text{cm}.$ Find the area of the strip cut out and the remaining part.

A rectangular park is of dimensions $32\text{m}\times 25\text{m}$. If two walkways of width $2\text{m}$ each are running parallel to the length of the rectangle and inside it a lawn has to be created, then find the area of the park where a lawn can be created.

On a rectangular envelope of dimensions $19$ cm by $11$ cm, six square shaped stamps each of side $1.2$ cm are pasted. Find the area occupied by the stamps on the envelope and also find the area on the envelope left free for writing the address.