Question

Fencing costs $25.80 per yard. How much does it COST to enclose two adjacent rectangular pastures as shown? Pls help!

Answer 1

Answer:

50:160 is the cost it is the answer

Answer 2

Given: length of the reactangular pasture$\[ = 50\frac{5}{8}yd\]$ breadth of the rectangular pasture$\[ = 30\frac{2}{9}yd\]$.

Cost of fencing$\[ = \ 25.80\]$/ yard.

To find: total cost of fencing.

Solution:

Find the total length to be fenced.

$\[ = 2\left( {l + b} \right) + b\]$

$\[ = 2\left( {50\frac{5}{8} + 30\frac{2}{9}} \right) + 30\frac{2}{9}\]$

$\[ = 2\left( {\frac{{405}}{8} + \frac{{272}}{9}} \right) + \frac{{272}}{9}\]$

$\[ = 2\left( {\frac{{405 \times 9 + 272 \times 8}}{{72}}} \right) + \frac{{272}}{9}\]$

$\[ = \left( {\frac{{405 \times 9 + 272 \times 8}}{{36}}} \right) + \frac{{272}}{9}\]$

$\[ = \left( {\frac{{405 \times 9 + 272 \times 8 + 272 \times 36}}{{36}}} \right)\]$

$\[ = \frac{{3645 + 2176 + 1088}}{{36}}\]$

$\[ = \frac{{6909}}{{36}}\]$

$\[ = 191.916yd\]$

Find the cost of fencing the pastures.

$\[\begin{array}{l}1yd = \ 25.80\\ \Rightarrow 191.916yd = 25.80 \times 191.916\\ \Rightarrow 191.916yd = \ 4952.568\end{array}\]$

Hence the total cost of fencing is $4952.568$.