Answer
Cost of constructing a new road is\[\$750,000\].
Work Step by Step
Cost of constructing 1 Km distance is 150,000. Let base be\[a\]and perpendicular be\[b\]. The length of the new road be\[c\].
If 1 Km has 1,000 m. Then, 4 Km has 4,000 meters. Similarly, 3,000 m\[=\]3 Km.
Hence, \[a=4\text{ Km}\]and\[b=3\text{ Km}\].
\[\begin{align}
& {{c}^{2}}={{a}^{2}}+{{b}^{2}} \\
& {{x}^{2}}={{4}^{2}}+{{3}^{2}}
\end{align}\]
Now, if \[{{4}^{2}}=4.4=16\]and\[{{3}^{2}}=3.3=9\]then, compute the value of c using the equation a shown below.
\[\begin{align}
& {{c}^{2}}=16+9 \\
& {{c}^{2}}=25 \\
& \sqrt{c}=\sqrt{25} \\
& c=5
\end{align}\]
Therefore, the length of new road is 5 Km.
The cost of constructing 1 Km distance is \$150,000, then compute the cost of constructing 5 Km distance using the equation as shown below.
Cost of constructing 5 Km distance={5}*{150,000}=$750,000
