Question

Mason Construction wants to connect two parks on opposite sides of town with a road. Surveyors have laid out a map as shown. The road can be built through the town or around town through point R. The roads intersect at a right angle at point R. The line joining Park A to Park B is parallel to the line joining C and D.

(i) What is the distance between the parks through town?

(ii) What is the distance from Park A to Park B through point R?

	(i)	(ii)
(A)	9 m	13 m
(B)	8 m	12. 5 m
(C)	8.75 m	12 m
(D)	9 m	14 m

Answer 1

The correct option is: (c)

Explanation:

(i) Since, CD||AB         [Given]

i.e., Distance between the parks through town is 8.75 m.

(ii) In right ΔCRD, we have

i. e., Distance from Park A to Park B through point R = AR + RB

= 4.5 m +7.5 m = 12 m