Description for Correct answer:
Let l=4x and b = 9x

Area of rectangle = \( \Large l\times b \)

144=\( \Large 4x\times 9x \)=> \( \Large x^{2}=\frac{144}{36} \) => \( \Large x^{2} \)=4

x=2

l=8 cm and b=18 cm

Perimeter of rectangle = 2 (l + b)

= 2 (8 + 18)

= \( \Large 2\times 26 \) = 52 cm