Area of a Quadrilateral

The given diagram shows a plan for constructing a new parking lot at a campus. It is estimated that such construction would cost $₹1300$ per square feet. What will be the total cost for making the parking lot?

Find the area of the quadrilateral formed by the points $(8, 6), (5, 11), (-5, 12)$ and $(-4, 3)$.

If the area of a quadrilateral formed by the points $\left(a, a\right), \left(-a, a\right), \left(a, -a\right)$ and $\left(-a, -a\right)$, where $a\ne 0$ is $64$ square units, then find all possible values of $a$.

If the area of a quadrilateral formed by the points $\left(a, a\right), \left(-a, a\right), \left(a, -a\right)$ and $\left(-a, -a\right)$, where $a\ne 0$ is $64$ square units, then identify the type of the quadrilateral

In the figure, find the area of quadrilateral $\mathrm{BCEG}$ in $\mathrm{sq}.\mathrm{units}$.

In the figure, the quadrilateral swimming pool shown is surrounded by concrete patio. Let the area of the patio be $\mathrm{k} \mathrm{sq}. \mathrm{units}$. Find the value of $\mathrm{k}$.

Find the value of $k$, if the area of a quadrilateral is $28 \mathrm{sq}.\mathrm{units}$, whose vertices are $(-4,-2),(-3, k),(3,-2)$ and $(2,3)$.

Find the area of the quadrilateral whose vertices are at $(-9,0),(-8,6),(-1,-2)$ and $(-6,-3)$

Find the area of the quadrilateral whose vertices are at $(-9,-2), (-8,-4), (2,2)$ and $(1,-3)$

If vertices of a quadrilateral are at $A(-5,7), B(-4, k), C(-1,-6)$ and $D(4,5)$ and its area is $72 \mathrm{sq}.\mathrm{units}$. Find the value of $k$.