Question

base of a triangular field is three times its height and uts area 1350m². find the base and height of the field

Answer 1

$\huge\red{Answer\:is}$

Let the height is x
then base is 3x
Area is 1350 sq m
ATQ
Area of triangular field = 1/2(base x height)

$1350 = \frac{1}{2} \times x \times 3x \\ 3x {}^{2} = 1350 \times 2 \\ 3x {}^{2} = 2700 \\ x {}^{2} = \frac{2700}{3} \\ x = \sqrt{900} \\ x = 30 \\ \\ so \: height \: \: is \: 30m \\ and \: base \: = 3 \times 30 \: \: = 90m$
Hope it helps you