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In the given figure , If I (AB) = 20
cm, 1 (BC) = 15 cm and I (PQ) = 15
cm and I (QR) = 10 cm in the
rectangle PQRS, what is the area
of the underlined area?
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Answer:
Answer
Correct option is
A
QR=5cm,SR=12cm,PR=QS=13cm
PQRS is a given rectangle Sides of rectangle PS=5cm and PQ=12cm(Given)
Since opposite sides of rectangle are equal
⇒PQ=SR=12cm
⇒PS=QR=5cm
In rectangle all the angles are right angles
Hence length of diagonal =l2+b2
Now in △PQR
using Pythagoras theorem, we have
PR2=PQ2+QR2
⇒PR=122+52
⇒PR=144+25
⇒PR=169=13
Hence length of diagonal PR=13cm
Similarly length of diagonal QS=13cm
Step-by-step explanation:
hope it helps you out
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