Question

1. noor can take two paths from her house to liams house. one path is direct. the other path requires noor to travel on two different roads, as shown. how much shorter is the direct path than the path with two different roads?

Explanation:

Step1: Calculate length of two-road path

The two-road path is the sum of the two legs: $1.5 + 2 = 3.5$ miles.

Step2: Calculate direct path (hypotenuse)

Use Pythagorean theorem: $c = \sqrt{a^2 + b^2} = \sqrt{1.5^2 + 2^2} = \sqrt{2.25 + 4} = \sqrt{6.25} = 2.5$ miles.

Step3: Find difference in lengths

Subtract direct path from two-road path: $3.5 - 2.5 = 1$ mile.

Answer:

1 mile