Question

the base of a parallelogram is three times its height if its area is 243 CM square find the base and the height of the parallelogram​

Answer 1

Answer:

$\brown{\sf Height \; of\; the\; parallelogram = 9\; cm \;and \;Base \;of\; the\; parallelogram = 27 cm}$

Step-by-step explanation:

$\huge \text{Given}$

$\bigstar$ The base of a parallelogram is three times its height and the area = 243 cm².

$\huge \text{To Find}$

$\bigstar$ The base and the height of the parallelogram​.

$\huge \text{Solution}$

Let the Height of the parallelogram be 'x'

$\red\bigstar$ Height = x $\longrightarrow$ (1)

From the question,

Base = 3 times the height of the parallelogram.

$\blue\bigstar$ Base = 3x $\longrightarrow$ (2)

Area of parallelogram = Base × Height

Area of parallelogram = 3x × x

∵ it is given in the question that Area = 243 cm²

243 = 3x × x

243 = 3x²

x² = $\dfrac{243}3$

x² = 81

x = $\sqrt{81}$

∴ x = 9

Equating the value of x in (1) and (2)

In (1) $\longrightarrow$ Height = x = 9 cm

            and

In (2) $\longrightarrow$ Base = 3x = 3 × 9 = 27 cm