Question

The city planning committee is discussing making a bike path extension in its city park. They have a $5050 budget for the proposed project. The cost to construct the path is $2.20 per foot. The path would be a straight line from the fountain to the large oak tree. In the right triangle formed, the height is 880 ft and the base is 2112 ft. How much will the path cost? Will this work with the city planning budget?

Answer 1

You can solve this using the Pythagorean Theorem

$a^2 + b^2 = c^2$
$880^2 + 2112^2 = c^2$
$774400 + 4460544 = c^2$
$c^2 = 5234944$
$\sqrt{c^2} = \sqrt{5234944}$
$c = 2288 ft$

$2.20 x 2288 ft = $5033.60
The budget is for $5050 so this will work.