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The scale drawing shows Katy's garden ABCD - OCR - GCSE Maths - Question 19 - 2018 - Paper 1
Question 19
The scale drawing shows Katy's garden ABCD. Scale: 1 cm represents 5 m. Katy places a statue in the garden. The statue is - more than 30 m from D - closer to CB t... show full transcript
Worked Solution & Example Answer:The scale drawing shows Katy's garden ABCD - OCR - GCSE Maths - Question 19 - 2018 - Paper 1
Step 1
more than 30 m from D
Answer
To satisfy the condition of being more than 30 m from point D, you will need to draw a circle with a radius of 6 cm (since 1 cm = 5 m). Place the center of the circle at point D. This circle indicates all points that are exactly 30 m from D, and we will shade the area outside of this circle to represent the statue's placement being more than 30 m away.
Step 2
closer to CB than AB
Answer
To show that the statue should be closer to line CB than to line AB, draw a ruled bisector of the angle formed by extending lines AD and DC. This line will effectively divide the space in the garden so that any point to the right of this line (closer to CB) satisfies this condition. The area to the left of this line will be shaded to indicate it does not fulfill the requirement.
Step 3
Construct and shade the region
Answer
The final step is to combine the shaded areas. Shade the region outside the circle (indicating more than 30 m from D) and on the left side of the bisector (indicating closer to line CB than line AB). Clearly label all construction lines such as the bisector and the circle to illustrate the valid region for placing the statue.