Question

Rather than following a sidewalk, a student on her way to school cuts across a vacant lot, as shown in the diagram below. All lengths are in feet.
What statement best characterizes the difference between the lengths of the two paths? http://i894.photobucket.com/albums/ac148/NightmareSheeps/mc106-1.jpg

Answer 1

A.The path across the vacant lot is about 1.41 times the length of the sidewalk path.
B.The path down the sidewalk is about 0.71 times the length of the path across the vacant lot.
C.The path down the sidewalk is 2 feet shorter in length than that of the path across the vacant lot.
D.The path across the vacant lot is about 0.71 times the length of the sidewalk path.

Answer 2

@IMStuck

Answer 3

@jim_thompson5910

Answer 4

Use the Pythagorean Theorem.

Answer 5

\(a^2 + b^2 = c^2\)

Answer 6

I got 2, is that correct @MaxwellSmart

Answer 7

@MaxwellSmart plz reply

Answer 8

The path is c.
The sides are a = 38 and b = 40.
Let's calculate c.

\(c^2 = a^2 + b^2\)

\(c = \sqrt{a^2 + b^2} \)

\(c = \sqrt{38^2 + 40^2} \)

\(c = \sqrt{3044}\)

\(c \approx 55.17\)

The length of the sidewalk is 38 ft + 40 ft = 78 ft.

You are correct. Choice 2 is the answer.
\(\dfrac{55.17}{78} = 0.71\)

Answer 9

thank you soooo much @MaxwellSmart

Answer 10

You are very welcome.