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The scale drawing represents a park, ABCD - OCR - GCSE Maths - Question 7 - 2021 - Paper 1
Question 7
The scale drawing represents a park, ABCD. Scale: 1 cm represents 10 m. A straight path goes across the park from B. The path is always the same distance from side ... show full transcript
Worked Solution & Example Answer:The scale drawing represents a park, ABCD - OCR - GCSE Maths - Question 7 - 2021 - Paper 1
Step 1
Construct the route followed by the path.
Answer
To construct the route followed by the path, begin by locating the line segment joining points A and B. Measure the distance from point B to line AB. Using a compass, draw arcs from points A and B, ensuring their radius is the same, to find the intersection point on either side of line AB. Next, draw a straight line from point B, ensuring this new line is equidistant from AB and BC.
Step 2
Construct the locus of the possible positions of the bench.
Answer
To construct the locus for the bench's position, draw a circle with a radius of 5 cm centered at point C, since the scale indicates 1 cm represents 10 m (therefore, 5 cm equals 50 m). This circle will represent all possible positions for the bench that are within the specified distance of no more than 50 m from point C. Clearly indicate this locus on the diagram by shading or marking the area within the circle.