Abcd and pqrs are rectangles o is the centre of both rectangles ac is a straight line passing through p, o and s bd is a straight line passing through q, o and s pq=8cm and qr=2cm the perimeter of rectangle abcd is 60cm work out the length of ab an the length of bc
Answers
Given : Abcd and pqrs are rectangles o is the centre of both rectangles ac is a straight line passing through p, o and r . bd is a straight line passing through q, o and s pq=8cm and qr=2cm
To find : length of ab and the length of bc if perimeter of rectangle abcd is 60cm
Solution:
ΔPQR ≈ ΔABC
as PR & AC are same line
& PQ ║ AB & QR ║ BC
=> PQ / AB = QR/BC
=> 8/AB = 2/BC
=> AB = 4BC
Perimeter of ABCD rectangle = 2(AB + BC)
= 2( 4BC + BC)
= 10BC
Perimeter = 60 cm
=> 10BC = 60
=> BC = 6 cm
AB = 4BC = 24 cm
Length of AB = 24 cm & length of BC = 6 cm
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