5. PQRS is a rectangle. E and G is the mid-point of SR
and PQ respectively, PF = FR. The ratio of total area
of triangle PFQ and triangle FER to area of rectangle
PQRS is
A. 9:4
B. 3:8
C. 5:8
D. None of these
Answers
3 : 8 is ratio of total area of triangle PFQ and triangle FER to area of rectangle PQRS
Step-by-step explanation:
E is mid point of SR
PF = FR => F is mid point of PR
ΔFER ≈ ΔPSR
ER/SR = 1/2
Area of ΔFER = (1/2)² Area of ΔPSR
=> Area of ΔFER = Area of ΔPSR/4
area of Δ PSR = area of ΔPQR = area of PQRS/2
=> Area of ΔFER = Area of PQRS/8
QF is median of ΔPQR
=> Area of Δ PQF = area of ΔPQR/2
=> Area of Δ PQF = area of PQRS/4
Area of ΔFER + Area of Δ PQF = Area of PQRS/8 + Area of PQRS/4
= 3Area of PQRS/8
=> (Area of ΔFER + Area of Δ PQF )/Area of PQRS = 3/8
3 : 8 is ratio of total area of triangle PFQ and triangle FER to area of rectangle PQRS
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Answer:
3:8
Step-by-step explanation:
No need of such explanation