Applications of Area and Perimeter in Real Life

The hospital is on a rectangular land with a boundary wall all around. Leaving the boundary wall, the length of the land is $70 \mathrm{m}$ and its breadth is $60 \mathrm{m}$. If  two paths pass through the middle of the rectangular plot of land of hospital (the figure is shown in the image below), the total area of two paths is

In the figure given below, find the area (in $\mathrm{sq}.\mathrm{cm}.$) of the coloured portion:

In the figure given below, the area of the shaded portion is

David drawn the picture given below. Find the area of the black coloured roads(in $\mathrm{sq}.\mathrm{cm}$).

A picture is painted on a cardboard $8 \mathrm{c}\mathrm{m}$ long and $5 \mathrm{c}\mathrm{m}$ wide such that there is a margin of $1.5 \mathrm{c}\mathrm{m}$ along each of its sides. Find $\mathrm{k}$, if the total area of the margin is $\mathrm{k} {\mathrm{cm}}^2$.

A slate is $35 \mathrm{cm}$ long and $20 \mathrm{cm}$ wide. It is surrounded by a wooden frame of width $2.5 \mathrm{cm}$ all around. The area of the wooden frame is $K {\mathrm{cm}}^2$, find the value of $K.$

A rectangular garden $10 \mathrm{m}$ by $16 \mathrm{m}$ is to be surrounded by a concrete walk of uniform width. Given that the area of walk is $120$ sq m. assuming the width of the walk to be $x$, form an equation in $x$ and solve it to find the value of $x$.

A paddy field is in a square shape and has side length equal to $45$ $\mathrm{m}$. Babu Ram hires a labour to harves t the paddy from the field. The labour says that he will charge $₹$$15$ per $\mathrm{sq}.\mathrm{m}.$ Being uneducated he demands $₹$$25,000$ for the whole work. Babu Ram calculates the actual amount to be paid to the labour and gives that amount to labour. What is the actual amount to be paid? What value of Babu Ram is depicted here?

A hall covers an area of $358\frac{3}{4} {\mathrm{m}}^2.$ The floor needs to be covered with tiles each dimension  $2\frac{1}{2}\times 3\frac{1}{2} {\mathrm{m}}^2.$ How many tiles are required to cover the entire hall floor $?$

Find the area of a square plot of land of side  $8\frac{3}{4}$m long.