Question

Plot the point P (3,0), Q (7,9) R (6,9) and S (-2,0)
Name the figure PQRS ?
Find the area of PQRS?

Answer 1

Given: The points P (3,0), Q (7,9) R (6,9) and S (-2,0)

To find:  Name the figure PQRS ?   Find the area of PQRS?

Solution:

• Now we have given the points P (3,0), Q (7,9) R (6,9) and S (-2,0) .

• After plotting on graph it comes out to be a quadrilateral with no specific shape.

• Now let A be (7,0) and B be (-2,9).

• Now ASBQ forms rectangle

                   area of ASBQ = 9 X 9 = 81 cm^2

• Now we will subtract area of triangle SBR and PAQ for area of rectangle.

                   area of SBR = 1/2 X 8 X 9 = 36 cm^2

                   area of PAQ = 1/2 X 4 X 9 = 18 cm^2

• Now:

                   area of  PQRS = area of ASBQ - ( area of SBR + area of PAQ  )

                   area of  PQRS = 81 - (36 + 18)

                   area of  PQRS = 81 - (54)

                   area of  PQRS =27 cm^2

Answer:

             So the area of PQRS is 27 cm^2.