Jackson construction wants to connect the two parks (Park A to Park B) on the opposite sides of the town with a road. Surveyors have laid out a map as shown below. Park A Park B Town 12m D 14m Note The figure is not drawn to scale The road can be built in two ways: i). It can be built through the town from Park A to Park B directly. ii) It can be built around the town from Park A to the point R, then to Park B. The roads intersect at a right angle at point R. Also, the line joining Park A to Park B is parallel to the road that joins location C and location D. A: What is the distance between the two parks using the road going through the town?

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Jackson construction wants to connect the two parks (Park A to Park B) on the
opposite sides of the town with a road. Surveyors have laid out a map as shown
below.
Park A
Park B
Town
12m
D
14m
Note The figure is not drawn to scale
The road can be built in two ways:
i). It can be built through the town from Park A to Park B directly.
ii) It can be built around the town from Park A to the point R, then to Park B.
The roads intersect at a right angle at point R.
Also, the line joining Park A to Park B is parallel to the road that joins location C
and location D.
A: What is the distance between the two parks using the road going through the
town?
B: What is the distance between the two parks using the roads going from Park A
through point R to park B?
C: Which of the two ways is shorter?
Transcribed Image Text:Jackson construction wants to connect the two parks (Park A to Park B) on the opposite sides of the town with a road. Surveyors have laid out a map as shown below. Park A Park B Town 12m D 14m Note The figure is not drawn to scale The road can be built in two ways: i). It can be built through the town from Park A to Park B directly. ii) It can be built around the town from Park A to the point R, then to Park B. The roads intersect at a right angle at point R. Also, the line joining Park A to Park B is parallel to the road that joins location C and location D. A: What is the distance between the two parks using the road going through the town? B: What is the distance between the two parks using the roads going from Park A through point R to park B? C: Which of the two ways is shorter?
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