If the points P(-1, -4), Q (b, c) and R(5, -1) are collinear and if 2b + c = 4, then find the values of b and c.

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

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

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

Find the value of k, if the area of a quadrilateral is 28 sq. units, whose vertices are (–4, –2), (–3, k), (3, –2) and (2, 3)

If the points A(- 3, 9) , B(a, b) and C(4, - 5) are collinear and if a + b = 1 , then find a and b.

Let P(11, 7), Q(13.5, 4) and R(9.5, 4) be the midpoints of the sides AB, BC and AC respectively of Δ ABC. Find the coordinates of the vertices A, B and C. Hence find the area of Δ ABC and compare this with area of ΔPQR.

In the figure, the quadrilateral swimming pool shown is surrounded by concrete patio. Find the area of the patio.

In the figure, find the area of triangle AGF

A(1, -2) , B(6, -2), C(5, 1) and D(2, 1) be four points Find the slope of the line segment (a) AB (b) CD