nickcojoc777
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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 = 8 cm and QR = 2 cm.
The perimeter of rectangle ABCD is 60 cm.
Work out the length of AB and the length of BC.​

ABCD and PQRS are rectanglesO is the centre of both rectanglesAC is a straight line passing through P O and RBD is a straight line passing through Q O and SPQ 8 class=

Respuesta :

ronhagrid310

Answer:

AB+BC = 60/2 =30   (1)

Using Thales theorem

AB/PQ = OB/OQ

BC/QR = OB/OQ

=> AB/PQ =BC/QR

=> AB/BC =PQ/QR=8/2=4   (2)

From (1) and (2) => 4BC + BC = 30

=> BC = 6

=> AB =30-6 =24

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