Question

In a parallelogram the base and height are is in the ratio of $5:2$. If the area of the parallelogram is $360m^2$, find its base and height.

• A. $30m,12m$.
• B. $20m,12m$.
• C. $30m,10m$.
• D. None of these

Answer 1

Answer: (A)

The ration of the base and height of the parallelogram is 5 : 2

$\therefore$ let, the base and height be 5x & 2x respectively.

We know, area of a parallelogram is given by, $\frac{1}{2}\text{base}\times \text{height}$.

$\therefore$ according to the question,

$\frac{1}{2}\times 5x\times 2=360$ [ The area is given by 360 $m^2$ ]

$\Rightarrow x^2=36$

$\Rightarrow x=6[\therefore$ base & height cannot be negative ]

$\therefore$ The base is ( 5 X 6 ) = 30 m . and the height is ( 2 X 6 ) = 12 m .

$\therefore$ option Ais correct.