Question

the two sides of parallelogram ABCD are 6cm and 4cm the heights corresponding to the BCD is 3 cm find the area of the parallelogram the height of corresponding to the base AD

•PLEASE ANSWER IT CLEARLY​

Answer 1

$\red{\textbf{Answer :-}}$

$\textsf{Area of parallelogram is 18}$${cm}^{2}$

$\textsf{height of corresponding to the base AD}$

$\textsf{is 4.5 cm}$

Step-by-step explanation:

$\textsf{Here , }$

$\textsf{Base = CD = 6cm}$

$\textsf{height = BE = 3cm}$

$\textsf{Area of parallelogram =}$

$\textsf{Base * height = CD * BE}$

$\textsf{= 6 * 3 = 18}$${cm}^{2}$

$\textsf{To find the height of corresponding to }$

$\textsf{the base AD, let that height be BF}$

$\textsf{Base = AD = 4cm}$

$\textsf{height = BF = x}$

$\textsf{Area of parallelogram = Base * height}$

$\textsf{18 = AD * BF}$

$\textsf{18 = 4 * BF}$

$\textsf{4 * BF = 18}$

$BF = \LARGE \frac{18}{4}$

$BF = \LARGE \frac{9}{2}$

$BF = 4.5cm$