Question

Find the missing values:

S.No.	Base	Height	Area of the parallelogram
a.	$20$ cm		$246$ $c{m}^2$
b.		$15$ cm	$154.5$ $c{m}^2$
c.		$84$ cm	$48.72$ $c{m}^2$
d.	$15.6$ cm		$16.38$ $c{m}^2$

Answer 1

We know that the area of parallelogram$=$base$\times$height
(a) Here, base$=20$cm and area$=246c{m}^2$
$\therefore$ Area of parallelogram$=$base$\times$height
$\Rightarrow 246=20\times$height
$\Rightarrow$ height$=\frac{246}{20}=12.3cm$.
(b) Here, height$=15$cm and area$=154.5c{m}^2$
$\therefore$ Area of parallelogram$=$base$\times$height
$\Rightarrow 154.5=$base$\times 15$
$\Rightarrow$ base$=\frac{154.5}{15}=10.3cm$
(c) Here, height$=8.4$cm and area$=48.72c{m}^2$
$\therefore$ Area of parallelogram$=$base$\times$height
$\Rightarrow 48.72=$base$\times 8.4$
$\Rightarrow$ base$=\frac{48.72}{8.4}=5.8cm$
(d) Here, base$=15.6$cm and area $=16.38c{m}^2$
$\therefore$ Area of parallelogram$=$base$\times$height
$\Rightarrow 16.38=15.6\times$height
$\Rightarrow$ height$=\frac{16.38}{15.6}=1.05cm$
Thus, the missing values are:

S.No.	Base	Height	Area of the parallelogram
a.	$20$ cm	$12.3$ cm	$246$ $c{m}^2$
b.	$10.3$ cm	$15$ cm	$154.5$ $c{m}^2$
c.	$5.8$ cm	$84$ cm	$48.72$ $c{m}^2$
d.	$15.6$ cm	$1.05$	$16.38$ $c{m}^2$