Question

find the above answer to the question

Answer 1

Answer: 11cm²

We can see that the quadrilateral is actually 2 triangles put together. The base and height of the triangles are given, so we can find the area of both the triangles and then add it to get the area of the quadrilateral.

ΔQRS

Height = 2.5cm

Base = 5.5cm

Area = 1/2 × base × height

        = 1/2 × 5.5 × 2.5

        = 1/2 × 13.75

        = 6.875cm²

ΔQPS

Height = 1.5cm

Base = 5.5cm

Area = 1/2 × Height × Base

        = 1/2 × 1.5 × 5.5

        = 1/2 × 8.25

        = 4.125cm²

Now that we have the area of both the triangles, we can simply add it together to get the area of the Quadrilateral...

Area of Quadrilateral QPRS = Area of ΔQRS + Area of ΔQPS

                                   = 6.875 + 4.125

                                   = 11cm²

Therefore the Area of the given quadrilateral = 11cm²