Geometry In Design - McGraw-Hill Ryerson

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5. A one-story bungalow is to be designed for a small lot. The floor plan
of the house must fit into a rectangle measuring 30 ft by 40 ft. The
buyer has made the following specifications.
Room Minimum Floor Area (ft 2 )
bedroom #1 200
bedroom #2 150
bedroom #3 100
bathroom 100
eat-in kitchen 200
living room 300
There must be a clear path to all rooms. Use pencil and paper or
drawing software to design such a house. Design Tip: Lay out the
rooms such that you minimize the area required for hallways.
6. A flexible floating pipe is used to contain an oil spill. The pipe can
contain a depth of 50 cm of oil. It is placed around a leaking tanker
carrying 200 000 m 3 of oil. The pipe is laid such that it forms a circle
around the leaking tanker. What length of pipe is needed to contain
all of the oil
7. Build a boat using one piece of water-resistant cardboard or plastic
the same size as notebook paper, up to six popsicle sticks, glue as
required, and enough tape to join the edges. The boat must hold the
maximum load possible without sinking. Test the boat using standard
weights, coins, or other materials. Record your plan.
Math
Connect
Many bridges use
triangles in their
construction. Triangles
are rigid and add to
the strength of the
bridge.
8. Build a bridge using 12 plastic drinking straws, one sheet of notebook
paper, and duct tape to join the straws. The bridge must span 15 cm
and hold the maximum load possible. Note: The duct tape may be
used only to join the straws. It may not be used to reinforce the bridge.
Place the bridge over a gap of 15 cm, and test it with standard weights,
coins, or other materials. Record your plan.
6.5 Solve Problems With Given Constraints • MHR 51