Question

Find the missing values:

So No	Base	Height	Area of parallelogram
a.	20 cm	-	246 \(cm^2\)
b.	-	15 cm	154.5 \(cm^2\)
c.	-	8.4 cm	48.72 \(cm^2\)
d.	15.6 cm	-	16.38 \(cm^2\)

Answer 1

\(Area\; of\; parallelogram = Base × Height\)
(a) \(b = 20 \;cm, \;h\) = \(?\)
\(Area = 246 \;cm^2\)
\(20 × h = 246\)

\(h\) = \(\frac{246}{20}=12.3 \;cm\)

Therefore, the height of such \(parallelogram\) is \(12.3\) \(cm\).

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(b) \(b = ? \;h\)= \(15 \;cm\)
\(Area\) = \(154.5\; cm^2\; b × 15\)

\(b = \frac{154.5}{15}=10.3 \;cm\)

Therefore, the base of such \(parallelogram\) is \(10.3\) \(cm\).

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(c) \(b = ? \;h\) = \(8.4\; cm\; Area\) = \(48.72\; cm^2\)
\(b\times h\) = 48.72

= \(b\) = \(\frac{48.72}{8.4}=5.8 \;cm\)

Therefore, the base of such \(parallelogram\) is \(5.8\) \(cm\). 

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(d) \(b = 15.6\; cm\; h = ?\)
\(Area = 16.38 \;cm^2\)
\(15.6 × h = 16.38\)

\(h= \frac{16.38}{15.6}=1.05\;cm\)

Therefore, the height of such \(parallelogram\) is \(1.05\) \(cm\).