Question

Find the area of the quadrilateral PQRS in the adjoining figure:

Answer 1

Answer:

The area of quadrilateral PQRS is 10.99$cm^{2}$.

Step-by-step explanation:

Consider quadrilateral PQRS.

Area of PQRS= ar(QRS) + ar(PQS)

ar(PQRS) = $\frac{1}{2}$ × QS × RM +  ($\frac{1}{2}$ × QS  × PN)

ar(PQRS) =  $\frac{1}{2}$ × 5.5 × 2.5 +  ($\frac{1}{2}$ × 5.5 × 1.5)

ar(PQRS) = 6.87$cm^{2}$ +  4.12$cm^{2}$

ar(PQRS) = 10.99$cm^{2}$

∴The area of quadrilateral PQRS is 10.99$cm^{2}$.

Answer 2

Answer:

In this case, d = 5.5 cm,

h1 = 2.5 , h2 = 1.5

Area = 1/2 ×d ( h1 + h2)

Step-by-step explanation:

= 1/2 × 5.5 (2.5 + 1.5)

= 1/2 × 5.5 × 4 cm²

= 11 cm²