Find the perimeter of a rectangle whose length is 150 m and the diagonal is 170 m.
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Step-by-step explanation:
In a rectangle, each angle measures 90°.
Therefore PSR is right angled at S
Using Pythagoras theorem, we get
⇒ PS2 + SR2 = PR2
⇒ PS2 + 1502 = 1702
⇒ PS2 = 1702 – 1502
⇒ PS2 = 6400
⇒ PS = √6400
⇒ PS = 80
Therefore perimeter of the rectangle PQRS = 2 (length + width)
= 2 (150 + 80) m
= 2 (230) m
= 460 m
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