Question

The width of a rectangle is 2/3 of its length. Find its length if the perimeter is 80 cm. Find its dimensions

Answer 1

$\\ \\ Let \: the \: length \: be \: x \\ \\ Now , \: A.T.Q \\ \\ 2(x + \frac {2x}{3}) = 80 \\ \\ x + \frac {2x}{3} = 40 \\ \\ \frac {5x}{3} = 40 \\ \\ 5x = 120 \\ \\ x = 24 \\ \\ Length = 24 \: cm \\ \\ Breadth = \frac {2}{3} \times 24 = 16 \: cm$