Q9 of 53 Page 158

The length of a diagonal of a rectangle is 13. If one of the side of the rectangle is 5, the perimeter of the rectangle is …


Let the other side of rectangle be x


By Pythagoras Theorem,


AD2 = AC2 + CD2


132 = AC2 + 52


⇒ 169 – 25 = AC2


⇒ 144 = AC2


⇒ AC2 = 122


⇒ AC = 12


Perimeter = 2(AC + CD)


⇒ Perimeter = 2(12 + 5)


⇒ Perimeter = 34


∴ Option (b) is correct.

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