Sect. 1.4 Solving Quadratic Word Problems.notebook
November 01, 2011
Solving Quadratic Word Problems
Solving Quadratic Word Problems
Example 1: A rectangular field is to be fenced
on three sides with 1000 m of fencing. The
fourth side is a straight river's edge that will not
be fenced. Find the dimensions of the field so
that the area of the enclosure is 120000 square
meters.
Oct 27­8:10 AM
Example 2: A brick path of uniform width is
constructed around the outside of a 6 m by 10 m
rectangular garden. Find how wide the path should be
if there is enough brick to cover 132 square meters.
Oct 27­8:10 AM
Example 1: A rectangular field is to be fenced
on three sides with 1000 m of fencing. The
fourth side is a straight river's edge that will not
be fenced. Find the dimensions of the field so
that the area of the enclosure is 120000 square
meters.
Jun 16­10:55 AM
Example 2: A brick path of uniform width is
constructed around the outside of a 6 m by 10 m
rectangular garden. Find how wide the path should be
if there is enough brick to cover 132 square meters.
Jun 16­10:59 AM
1
Sect. 1.4 Solving Quadratic Word Problems.notebook
November 01, 2011
Example 3: A picture is 20 cm wide and 25 cm
high.The picture is placed on a mat so that the
mat's uniformly wide strip shows as a border for the
picture. The area of the mat is 306 cm2. Find the
width of the mat's strip that surrounds the picture.
Example 3: A picture is 20 cm wide and 25 cm
high.The picture is placed on a mat so that the
mat's uniformly wide strip shows as a border for the
picture. The area of the mat is 306 cm2. Find the
width of the mat's strip that surrounds the picture.
Oct 27­8:10 AM
Example 4: A rectangular garden is 60 m by 80 m.
Part of the garden is torn up to install a sidewalk of
uniform width around the garden. The new garden is
two-thirds of the old area. Approximately, how wide
is the sidewalk?
Oct 27­8:10 AM
Jun 16­11:00 AM
Example 4: A rectangular garden is 60 m by 80 m.
Part of the garden is torn up to install a sidewalk of
uniform width around the garden. The new garden is
two-thirds of the old area. Approximately, how wide
is the sidewalk?
Jun 16­11:04 AM
2
Sect. 1.4 Solving Quadratic Word Problems.notebook
November 01, 2011
Example 5: A rectangular driveway measuring 10 m
by 3 m is reduced such that the new area was 60%
of the original area. A strip of uniform width was
removed from one end and a strip of the same width
was removed from a side. If the driveway remained
rectangular, what was the width of the strip?
Jun 16­11:06 AM
Oct 27­8:52 AM
Example 6: A rectangular garden has a perimeter
of 140 m and an area of 1200 m2. Find the
dimensions of the garden.
Jun 16­11:08 AM
Oct 28­9:40 AM
3
Sect. 1.4 Solving Quadratic Word Problems.notebook
Oct 28­9:46 AM
Example 7: A rectangular rink having dimensions
30 m by 50 m is to be expanded by adding rectangular
strips of equal width to one length and one width. If
the new rink will have an area of 1749 m2, what will
be the width of the strip?
Oct 28­9:05 AM
November 01, 2011
Oct 28­9:51 AM
Example 7: A rectangular rink having dimensions
30 m by 50 m is to be expanded by adding rectangular
strips of equal width to one length and one width. If
the new rink will have an area of 1749 m2, what will
be the width of the strip?
Jun 16­11:09 AM
4
Sect. 1.4 Solving Quadratic Word Problems.notebook
Example 8: A rectangular ice surface is flooded by a
machine starting at the center. After 10% of the
surface has been flooded (leaving a uniform strip
around the outside) the flooding machine breaks down.
If the rink is 25 m wide and 40 m long, find the width
of the unflooded strip.
Oct 28­9:05 AM
November 01, 2011
Example 8: A rectangular ice surface is flooded by a
machine staring at the center. After 10% of the
surface has been flooded (leaving a uniform strip
around the outside) the flooding machine breaks down.
If the rink is 25 m wide and 40 m long, find the width
of the unflooded strip.
Jun 16­11:11 AM
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Oct 26­9:27 AM
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