An art gallery has a small plot of land with 10 sculptures.
The sculptures are shown as points on the grid below.
The distances are measured in metres.

a. The gallery is building a rectangular enclosure to keep the sculptures safe. It is planning to build straight fences along the lines 

y = 160,

y = −140,

x = 210 and x = −190 to form the rectangular enclosure. Would any sculpture(s) be outside the enclosure? Justify your answer.
b. Give the equations of the fence lines which would form the smallest possible rectangular enclosure that has all 10 sculptures inside. (Assume a sculpture can lie on a fence line.)
c. What is the area of the smallest possible enclosure that the gallery can build?

Transcribed Image Text:

(-100, 200) (-150, 100) 200 (-180,- 120) YA 150 100 50 -250-200-150-100 -50 -50 (-200,-40) 100 (-100, -100) 150 -200 (30, 120) (220, 80) (150, 50) 0 50 100 150 200 250 300 350 * (60-20) (180,-120)