question_answer

(a) Find the area of rectangular park which is \[36\frac{3}{5}\] m long and \[16\frac{2}{3}\] m broad.

(b) Write the name of property for any rational numbers \[\frac{a}{b}\]and\[\frac{c}{d}\], we have \[\left( \frac{a}{b}\times \frac{c}{d} \right)=\left( \frac{c}{d}\times \frac{a}{b} \right)\]

Answer:

(a) Since length of rectangular park \[=36\frac{3}{5}\]m \[=\frac{183}{5}\]m and breadth of rectangular park \[=16\frac{2}{3}\]m \[=\frac{50}{3}\]m

Then area of park \[=l\times b\]

\[=\frac{183}{5}m\times \frac{50}{3}m\]

\[=61\times 10{{m}^{2}}=610{{m}^{2}}\]

(b)  \[\left( \frac{a}{b}\times \frac{c}{d} \right)=\left( \frac{c}{d}\times \frac{a}{b} \right)\], it is commutative law of property.