There are two rectangular flower beds of size $1.5 \mathrm{m}\times 2 \mathrm{m}$ each in the park as shown in the given diagram and the rest has grass on it. If the area covered by grass is $k {\mathrm{m}}^2$, find the value of $k$.

Mrs. Kamran has a square plot with the measurement as shown in figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. If the total cost of developing a garden around the house at the rate of $\mathrm{₹}55$ per ${\mathrm{m}}^2$ is $₹k$, find the value of $k$.

The shape of a garden is rectangular in the middle and semicircular at the ends as shown in the diagram. Find the area and the perimeter of this garden [Length of rectangle is $\left[20-\left(3.5+3.5\right)\right]$ metres].

An ant is moving around a few food pieces of different shapes scattered on the floor. For which food-piece would the ant have to take a longer round? Remember circumference of a circle can be obtained by using the expression $\mathrm{c}=2\mathrm{\pi }\mathrm{r}$, Where $\mathrm{r}$ is the radius of the circle.

Nazima's sister also has a trapezium shaped plot. Divide it into three parts as shown in the figure. Show that the area of trapezium $\mathrm{WXYZ}=\frac{h(a+b)}{2}$.

If $h=10 \mathrm{cm}, c=6 \mathrm{cm}, b=12 \mathrm{cm}, d=4 \mathrm{cm}$, find the values of each of its parts separately and to find the area $\mathrm{WXYZ}$. Verify it by putting the values of $h, a \text{and} b$ in the expression $\frac{h(a+b)}{2}$. 

If the area of the following trapezium is $k {\mathrm{cm}}^2$, then find the value of $k$.