Question

If construction costs are $160,000 per kilometer, find the cost of building the new road in the figure

shown to the right

The cost of building the new road is $
(Round to the nearest dollar as needed

Answer 1

$4,160,000

Explanation:

Step 1: Using Pythagorean Theorem, find the length of the new road in km.

pythagorean theorem formula is given as, c² = b² + a², where,

c = lenght of new road

b = 10,000 m = 10 km

a = 24,000 m = 24 km

(Note: 1 km = 1,000 m)

Plug the values into the formula:

c² = 10² + 24² = 100 + 576

c² = 676

Square both sides

√c² = √676

c = 26 km

Step 2: find the cost for constructing the new road

1 km cost $160,00

26 km would cost: 26*160,000

= $4,160,000