Question

The breadth of a rectangular garden is 2/3 of its length. If its perimeter is 40 m. Find the area?

Answer 1

$perimeter = 2(l + b)$

$let \: length \: be \: x \:$

$then \: breadth = \frac{2}{3} x$

$40 = 2(x + \frac{2}{3} x)$

$40 = 2x + \frac{4}{3} x$

$40 = \frac{6x + 4x}{3}$

$40 = \frac{10x}{3}$

$x = \frac{40 \times 3}{10}$

$x = 12$

$length = 12m, \: breadth = 8m$

$area = 12 \times 8 = 96m$