Question

Question 3

Find the missing values:

$$\begin{array}{cccc}S.No.& Base& Height& Areaoftheparallelogram\\ a.& 20cm& & 246c{m}^2\\ b.& & 15cm& 154.5c{m}^2\\ c.& & 8.4cm& 48.72c{m}^2\\ d.& 15.6cm& & 16.38c{m}^2\end{array}$$

Answer 1

We know that the area of parallelogram = $base\times height$

a) Here, base = 20 cm and area = 246 $c{m}^2$
$\therefore$ 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 = 154.5 $c{m}^2$
$\therefore$ 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 = 48.72 $c{m}^2$
$\therefore$ Area of parallelogram = $base\times height$
$\Rightarrow$ $48.75=base\times 8.4$
$\Rightarrow$ $base=\frac{48.72}{8.4}=5.8cm$

d) Here, base = 15.6 cm and area = 16.38 $c{m}^2$
$\therefore$ Area of parallelogram = $base\times height$
$\Rightarrow$ $16.38=15.6\times height$
$\Rightarrow$ $height=\frac{16.38}{15.6}=1.05cm$

$$\begin{array}{cccc}S.No.& Base& Height& Areaoftheparallelogram\\ a.& 20cm& 12.3& 246c{m}^2\\ b.& 10.3cm& 15cm& 154.5c{m}^2\\ c.& 5.8cm& 8.4cm& 48.72c{m}^2\\ d.& 15.6cm& 1.05cm& 16.38c{m}^2\end{array}$$