Question
The width of the rectangle is 230 cm and its diagonal is 598 cm. Find its perimeter (in cm).
This question was previously asked in
RPF Constable 2018 Question Paper PDF (16-Feb-2019) (Shift 2)
The correct answer is
1564
1564 is correct.
In a rectangle the diagonal is the hypotenuse of the right triangle formed by the length and the width, so \(l=\sqrt{d^2-b^2}\).
\(l=\sqrt{598^2-230^2}=\sqrt{357604-52900}=\sqrt{304704}=552\) cm.
Perimeter \(=2(l+b)=2(552+230)=2\times 782=1564\) cm.
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