Question

The height of a parallelogram is one-third of its base. If the area is 108 cm2, find the base and height. ​

Answer 1

let the height is h

so base = 3h

now as it is given that

$\:base × height = 108 \: {cm}^{2} \\ 3h \: \times h = 108 \\ 3 {h}^{2} = 108 \\ {h}^{2} = \frac{108}{3} \\ {h}^{2} = 36 \\ \sqrt{ {h}^{2} } = \sqrt{36} \\ h = 6 \: cm$

So the height is 6 cm

and base is 3h = 3 × 6 = 18 cm

Hope it helps :)