Question

find the height of a parallelogram whose area is 54 cm² and the base is 15 cm.

Answer 1

Area of paralleogram is base × height
where we have given base and height 54cmsq
and 15 cm
15×h=54cmsq
h=54÷15
h=3.6 cm


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Answer 2

$\large{\pink{\boxed{\purple{\boxed{\orange{\textsf{Solution}}}}}}}$

=> Consider the height as X

=> AREA of Parallelogram

= Height × Base

$\large = > 54 \: cm ^{2} = x \times 15$

$\large = > 54 \:cm^{2} = 15x$

$\large = > 15x = 54$

$\large = > x = \frac{54}{15}$

$\large = > x = \frac{18}{5}$

=> $\large{\green{\boxed{\green{\boxed{\red{\textsf{ x = 3.6cm }}}}}}}$

$\textbf{\large{Verification}}$

→ AREA = Height × Base

→ 54 = 3.6 × 15

→ 54 = 54

∴ LHS = RHS

∴ The height is 3.6 cm