Question

6. In the image given below, 2/3 SR = PS.
P
10 cm
T
S
Q
R
5 cm
What is the area of the shaded part?
a) 10 cm
b) 20 cm?
c) 4 cm ?
d) 8 cm?​

Answer 1

Answer:

4 cm

Step-by-step explanation:

using BPT

PT/PQ=PS/PR

PR= PS+ SR

= PS+3/2PS (PS=2/3SR)

PR=5/2PS

using BPT

PT/PQ=PS/PR

PT/10=PS/(5/2PS)

PT/10=2/5

PT=4

AGAIN USING BPT

PT/PQ=TS/QR

4/10=TS/5

TS=2cm

Now we have base TS=2cm

and height = 4cm

Area = 1/2 × base × height

= 1/2× 2× 4

= 4 cm