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American Streets. An Investigation. American Streets. The diagram shows part of an American city street system with the streets running North–South and East–West. The blocks of buildings are square and each side is 48 m long. The streets are 22 m wide including sidewalks. X. Y.

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American streets

American Streets

An Investigation


American Streets.

The diagram shows part of an American city street system with the streets running North–South and East–West.

The blocks of buildings are square and each side is 48 m long. The streets are 22 m wide including sidewalks.


X

Y

American Streets

A boy lives on the corner of a block at

point X and his girlfriend

lives at corner Y.

One day the boy

decided to walk to his

girlfriend's house

from his own house.

There are many

different routes

he can take.


Investigate the different possible

routes and hence find the shortest route


Solutions

(1) XA = 118 AY = 188

XAY = 306


(2)XA = 48 AB = 52·8

BC = 52·8 CY = 118

XY = 271·6


(3) XA = 48 AB = 120·0

BC = 52·8 CY = 48

XY = 268·8


(4) XA = 48 AB = 189·3

BY = 48 XY = 285·3


(5) XA = 48 AB = 120·0

BY = 118 XY = 286·0


(6) XA = 48 AB = 52·8

BC = 52·8 CD = 52·8 DY = 48

XY = 254·4

Shortest Route !!!!


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