Find the length of diagonal $AC$ in the adjoining figure if the area of quadrilateral $ABCD$ is $35 {\mathrm{cm}}^2$.

  

Find the area of the following figure (in ${\mathrm{m}}^2$):

Find the area of the following figure (in ${\mathrm{m}}^2$):

Find the area of the following figure (in ${\mathrm{m}}^2$):

Find the area of the following figure (in ${\mathrm{m}}^2$):

Find the area of the following field (in ${\mathrm{m}}^2$). All dimensions are in meters.

Find the area of the following field (in ${\mathrm{m}}^2$). All dimensions are in meters.

There is a circular pond and a footpath runs along its boundary. A person walks around it exactly once, keeping close to the edge. If his step is $66 \mathrm{cm}$ long, and he takes exactly $400$ steps to go around the pond, find the diameter of the pond.

If the required answer is $k \text{cm}$, then write the value of $k$ in answer box.

Saswati wants to purchase a trapezium-shaped plot. The plot is situated between a road and a canal. Its side along the canal is parallel to and twice the side along the road. If the area of the plot is $12000 {\mathrm{m}}^2$ and the perpendicular distance between the two parallel sides is $125 \mathrm{m}$, find the length of the side along the canal.

If the length of the side along the canal is $k \mathrm{m}$, then write the value of $k$ in answer box.