A developer needs to abide by council regulations in a new subdivision. Regulations stipulate that buildings can occupy
Posted: Fri Apr 29, 2022 10:52 am
A developer needs to abide by council regulations in a new
subdivision. Regulations stipulate that buildings can occupy up to
60%
of the area of the property and must be a minimum distance of
1.3
metres from any boundary. The project architect has drawn up plans
for
74 identical villas, with each building occupying a space of 9 by
15
metres.
The villas will be placed on the blocks as shown in the diagram
(not to
scale):
#a) will the 60% limit be respected?2
If the blocks in the subdivision measure 270 m
Support your answer with relevant calculations.
#b) Write an equation, in standard quadratic form, to describe
the area of each block in
terms of 𝑥
subdivision. Regulations stipulate that buildings can occupy up to
60%
of the area of the property and must be a minimum distance of
1.3
metres from any boundary. The project architect has drawn up plans
for
74 identical villas, with each building occupying a space of 9 by
15
metres.
The villas will be placed on the blocks as shown in the diagram
(not to
scale):
#a) will the 60% limit be respected?2
If the blocks in the subdivision measure 270 m
Support your answer with relevant calculations.
#b) Write an equation, in standard quadratic form, to describe
the area of each block in
terms of 𝑥