A new play area must be
• no more than 150m from B
• closer to AD than to CD - OCR - GCSE Maths - Question 19 - 2017 - Paper 1
Question 19
A new play area must be
• no more than 150m from B
• closer to AD than to CD.
Construct and shade the region where the play area can be positioned.
Show all your c... show full transcript
Worked Solution & Example Answer:A new play area must be
• no more than 150m from B
• closer to AD than to CD - OCR - GCSE Maths - Question 19 - 2017 - Paper 1
Step 1
no more than 150m from B
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To satisfy the first condition, draw a circle with a radius of 150m centered at point B. This represents all the points that are no more than 150m away from B.
Step 2
closer to AD than to CD
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To satisfy this condition, find the perpendicular bisector of line segment CD. The play area should be located on the side of the line closer to line AD. Shade the area to the left of the bisector if line CD is horizontal and lies to the right of AD.
Step 3
Construct and shade the region
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
After drawing the circle and the perpendicular bisector, the shaded region representing where the play area can be located is the area that is both within the circle around B and on the designated side of the perpendicular bisector. Make sure that all construction lines are visible and clear.
