# Suppose, the blocks in your hometown are all squares. You're given the

Suppose, the blocks in your hometown are all squares. You're given the directions to go north 3 blocks, turn east and go 5 blocks, turn south and go 7 blocks, then to turn west and go 3 blocks. How far away is the restaurant in a straight line distance? Express your answer in blocks.

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timbalemX
Let the directions south and north be the y-axel and the west-east directions be the x-axel:
The total x: 5-3=2
The total y: 3-7=-4
So let the starting point be (0,0), then the finish point would be (2,-4). If we imagine the way as a right triangle, the straight-line distance would be the hypothenuse. Use the Pythagorean Theorem:
$$\displaystyle{d}^{{2}}={2}^{{2}}+{\left(-{4}\right)}^{{2}}$$
$$\displaystyle{d}=\sqrt{{{4}+{16}}}$$
$$\displaystyle{d}=\sqrt{{20}}$$
Calculate:
$$\displaystyle{d}\approx{4.47}$$
The straight-line distance would be approximately 4.47 blocks.