Find the area of quadrilateral PQRS
PX=3.2cm
QS=10.5 cm
RY=4.8cm
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Answered by
1
Step-by-step explanation:
Here, Lets divide the figure into two triangles
∆PSQ and ∆SRQ
Now, area of ∆PSQ+∆SRQ= Area of quadrilateral PQRS
=1/2(10.5cm×3.2cm)+1/2(10.5cm×4.8cm)
=10.5cm×1.6cm + 10.5cm×2.4cm
=10.5cm(1.6cm+2.4cm)
=10.5cm×4cm
=42cm²
Answered by
2
Answer:
area of the quadrilateral is 42 cm²
Step-by-step explanation:
In triangle ∆ PQS:
Base = QS = 10.5 cm
Height = PX = 3.2 cm
area of the triangle = 1/2 × B × H
= 1/2 × 10.5 × 3.2
= 10.5 × 1.6
= 16.8 cm²
In triangle ∆ RQS:
Base= QS = 10.5 cm
height = RY = 4.8 cm
area of the triangle= 1/2 × B × H
= 1/2 × 10.5 × 4.8
= 10.5 × 2.4
= 25.2 cm²
area of the quadrilateral= 16.8 + 25.2
= 42 cm²
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