Question

the base of a parallelogram is thrice its height. if the area of the parallelogram is 2187 sq cm, then find it's height.

Answer 1

$hiiii \: dear$






3x and x
3x×x=867
3x²=867
x²=289
x=17
therefore height is 17m and base is 51m

Answer 2

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate!!!}}}$
Let the Height of the parallelogram is x cm
Then base of the parallelogram is 3x cm
Area of the parallelogram is 2187 sq cm

As we know the formula
Area of the parallelogram = Base x Height
$2187 = 3x \times x \\ 3x {}^{2} = 2187 \\ x {}^{2} = \frac{2187}{3} \\ x {}^{2} = 729 \\ x = \sqrt{729} \\ x = 27 \: cm$
so Height is 27 cm
Base = 3 x 27 = 81 cm
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